Other dimensional planes

Other dimensional planes

Despite the 115 year old anniversary celebrating Einstein’s Mar 26, 2018 · And any (N-1)-dimensional hypersurface in N-dimensional can use the similar definition. This image comes from the projection of a 4-dimensional hypersphere. This process must eventually terminate; at some stage, the definition must use a Three dimensional is also written as 3D and hence, these figures are commonly called 3D shapes too. They may be seen as parallel dimensions or layers of reality that coexist alongside each other, but are separated by different dimensions or spaces. The Jul 1, 2006 · The elastic properties of other 2D materials have been investigated by similar computational methods [36,59,60,[70][71][72]. Right Angled Triangles. As it continues through the plane, a circular disk grows until it reaches its maximum size. Triangles. 6. In Euclidean geometry, a plane is a flat two- dimensional surface that extends indefinitely. It has been shown that 3D rotational changes are induced by biplanar high tibial osteotomy; however, relevant information in biplanar lateral closed-wedge distal femoral osteotomy (LCW Dec 4, 2014 · Unable to perceive a third dimension, the Flatlanders see only one plane of three-dimensional visitors, kind of like how computed tomography or magnetic resonance imaging shows the body in slices. You accept the idea that the third dimension was projected onto the image and infer the structure it must have provided before the projection. Plane (. Dimension in this sense usually means more than the 3 spacial and 1 time dimension. In effect, the other universes/planes are just a small distance away from our own, but the distance is in a fourth (or higher) spatial (or non-spatial) dimension, not the standard ones. Dimensional, multiversal, or planar cosmology defines a series of worlds that exist parallel to the material world, but beyond conventional physics. 2) (4. Some demiplanes include the word “Dimension” in their title, as is the case for the Dimension of Dreams and the Dimension of Time. Sagittal (longitudinal) plane: separates the left and right sides of the body. Each ( n + 1st) plane cuts each previous plane in a line, so that it is divided by n lines, and therefore is divided into the number of parts from the previous sequence, thus adding that many new regions to space (new planes and the lines that divide them are in blue here): Summarizing: Mar 1, 2021 · Correction of coronal plane deformity by osteotomies around the knee is theoretically three-dimensional (3D) and can be associated with changes in other planes. An ancient trope, still used. Jul 7, 2006 · However, my third book, "Dimensional Planes", is dedicated to the following areas: Chapters "A" through "F" covers the function of our dimension plane, the existence of other dimensional planes, and the difference between man and animal. 2. 2-dimensional planes. The few native inhabitants are occupy dimensions 2 to 4. On distance scales larger than the string scale, a string looks just Dec 21, 2020 · Figure 12. Jan 24, 2011 · The Hidden Reality: Parallel Universes and the Deep Laws of the CosmosBy Brian GreeneHardcover, 384 pagesKnopfList price: $29. For the XY plane, there is an axis Z which is perpendicular to the XY Practice 1: Find parametric equations for the lines through the point. Sep 7, 2022 · The standard unit vectors extend easily into three dimensions as well, ˆi = 1, 0, 0 , ˆj = 0, 1, 0 , and ˆk = 0, 0, 1 , and we use them in the same way we used the standard unit vectors in two dimensions. Another way to look at it is Jul 2, 2020 · [0. a third plane can be given to be passing through this line of intersection of planes. If the two planes coincide . Where a, b, c are the coefficients of the normal vector to the plane and d is a constant. But if it falls and contacts the plane, a dot appears. In 1905 Einstein came up with his famous equation E=mc2 but he admitted that the universe is static and eternal. Apr 5, 2020 · The Forgotten Realms is a sphere comprised of a multitude of dimensions, intricate layers that bleed into each other at points called Planes. Consider the May 30, 2017 · Causal/Spiritual Plane=abstract thought and the Higher Human form. Some trans-dimensional beings may be able to travel between dimensions, while others may require Dimensional planes (also referred to planes) are layers of Creation that the gods of the Pantheon during the Ordering of the Universe, to keep all of its associated objects from being clustered together. A Solid is three-dimensional (3D) Plane Geometry is all about shapes on a flat surface (like on an endless piece of paper). In two- dimensional plane, the X-axis, and Y-axis crossed the point is called the origin. Each with their own inhabitants. Feb 18, 2015 · There are three main Grids that operate through and around Earth; the first we will look at is the Crystalline Grid, which links the Crystals in the Earth. But a "plain" is a treeless mostly flat expanse of land it is also flat, but not in the pure sense we use in geometry. Point, line, and plane, together with set, are the undefined terms that provide the starting place for geometry. In a line. In Figure 1 (a), the positive z z -axis is shown above the plane containing Plane shapes, also known as 2D shapes, are flat figures that exist in a two-dimensional space, with length and width but no depth. Parametric Equation of a Line in Three Dimensions. That is the size of the set of all real numbers between 0 and 1. In a third approach, three orthogonal planes are displayed together with three-dimensional cues, such as lines on each extracted plane to designate its intersection with the To get an object with depth, you need an uncountable infinity of planes. The parametric pattern works for lines in three dimensions. 3] Lower & Higher Dimensions. A PLANE (or "plane of existence") is a different reality within a single universe. Then we would have an xy-plane, a xz-plane and a yz-plane. Jul 11, 2021 · The first thing you have to understand is that the astral plane isn’t a single thing. The dimension is an intrinsic property of an object, in the sense that it is independent of the dimension of the space in which the object is or can be embedded. The presence of these planes may be very important to your world, and should you decide to use them you should plan for how they work, how they affect the primary plane of existence, and how they can be reached. Euclidean planes often arise as subspaces of three-dimensional space . Cartesian coordinates are named for René Descartes, whose invention of them in the 17th century revolutionized There are two major differences I see between a plane and a generic extra dimensional space. This would be the generic case of an intersection between two planes in 4D (and any higher D, actually). A new plane i. The popular usage of this term is incorrect; "other dimensions" are not locations, but A plane is the two-dimensional analog of a point (zero dimensions), a line (one dimension), and three-dimensional space. There are some stories that suggest Kadath and the Dreamlands are the place, or is a feature in one, but they are all different dimensions. Immortals are 4D (so 1 to 4). The 4 primary elements of architecture include the point, line, plane, and volume. Just as we find the two-dimensional distance between a point and a line by calculating the length of a line segment perpendicular to the line, we find the three-dimensional distance between a point and a plane by What are the dimensional planes? The dimensional planes are the different levels of spacial dimension (1st-Dimension, only length, 2nd-Dimension, length and width, 3rd-Dimension, length, width and height) and the dimension of time (only one, the present) that we can observe. Equivalently, the point space is a surface. Trans-dimensional beings can have different forms and abilities depending on the nature of their native dimension. Sep 13, 2021 · One popular approach: Suppose our knowable universe is a two-dimensional plane in three-dimensional space. 3 Plane stress state at the surface point of a bar under combined loading Let point \(R\) be the point in the plane such that, for any other point in the plane \(Q, ‖\vecd{RP}‖<‖\vecd{QP}‖\). 6 1+1+2+4+7+11+16 = 42. Kingdom of Faerie=imagination, rest and recreation. The different universes within the multiverse are called "parallel universes", "flat universes Definition of a Plane. A cartesian plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. Each plane is different from its adjacents. 4), aircraft wind skin (Fig. 2D Shapes. Interdimensional UFO hypothesis. Jan 27, 2011 · Other advantages of a midsagittal plane computed with morphometric methods are: it is very reliable, it can be simple and quick (newer software can automatically extract the midsagittal plane), it can be applied to 3D datasets from laser surface scanners and stereophotogrammetry, and all to computerized tomography imaging [15, 16, 18–20]. String theory smooths out the mathematical inconsistencies that May 21, 2022 · Euclid's Five Postulates. Lines in R2 (y = mx + b) describe planes in R3, therefore, it is important to understand the definition of a line specific toR3. In 3 dimensional Euclidean space, two planes may intersect as follows: If one plane is identical to the other except translated by some vector not in the plane, then the two planes do not intersect - they are parallel. Mar 27, 2018 · Dimension: If you likened the prime material plane to a 2-dimensional sheet of paper, the Ethereal Plane would be like a block resting on that sheet, with one face touching the prime's every location. Astral/Emotional Plane=emotions. [1] There have been various official cosmologies over the course of the different editions of the game String theory. In Figure 1 (a), the positive z z -axis is shown above the plane containing Jan 19, 2023 · Let point \(R\) be the point in the plane such that, for any other point in the plane \(Q, ‖\vecd{RP}‖<‖\vecd{QP}‖\). The reason we’re doing the astral plane in other dimensions is because it is a dimension that has multiple layers to it. It is actually difficult to imagine a plane in real life; all the flat surfaces of a cube or cuboid, flat surface of paper are The intersection line will lie in both planes at the same time, and thus will be perpendicular to the normal vectors for both planes. Each plane has its own particular energy or vibration, and it is the frequency of the vibration that makes the planes different from each other, along with determining the inhabitants that dwell there as well. 5), scoop box (Fig. It is also known as a two-dimensional surface. In a plane - if they are coincident. Fantasy games like DnD include the presence of alternate dimensions or “planes”. Jan 10, 2018 · By definition, the Cartesian plane is a two-dimensional space because we need two coordinates to identify any point within it. ) The planes of the Dungeons & Dragons roleplaying game constitute the multiverse in which the game takes place. Two intersecting planes: Two-dimensional planes are the hyperplanes in three-dimensional space. Some quantities, such as or force, are defined in terms of both size (also called magnitude) and direction. To help mortals comprehend the scope of their reality, the planes are organized by purpose and relative effect on the Material Plane, where most of D&D takes place. Each dimension of reality has a distinct set of laws that govern what beings can and cannot do in them. Each of these planes could have an object move across them in the manner of a 2 dimensional plane even though each of the planes may never interact. Then graph the two lines. D and A can sit on the same line. String theory describes how these strings propagate through space and interact with each other. → Main article: Astral Plane. Dec 10, 2014 · The first dimension, as already noted, is that which gives it length (aka. It can also be called the coordinate plane. All three dimensional figures occupy space, which is measured in terms of volume. May 17, 2017 · We would like to show you a description here but the site won’t allow us. Thus, a circle with a radius of 1 can be described by the equation x 2 + y 2 =1. In three-dimensional space, a plane can be defined using a point and a normal vector to the plane or using three non-collinear points. B: a line that exists all the time. A trans-dimensional being is a life-form that originates from or exists in a realm that is beyond the normal space-time continuum. The "normal vector" for this plane is not a vector, but also a "plane". There are many more than the three I listed, but they cannot be Aug 18, 2023 · Introduction to Planes. You're mixing specific and generic. A solid ball hovering above the plane is invisible to us. Multiverses are predicted by several Two planes can intersect in the three-dimensional space. Mar 7, 2024 · Particle physics and string theory open the possibility of parallel dimensions where life forms vastly different from our understanding could exist. A polygon is a closed plane figure with straight sides. He is saying he is operating on planes (not hyperplanes). Each plane is a universe with its own rules with regard to gravity, geography, magic and morality. Thus, given a vector a, b, c we know that all planes perpendicular to this vector have the form ax + by + cz = d, and any surface of this form is a plane perpendicular to a, b, c . We also identify a plane by three noncollinear points, or points that do not lie on the same line. A plane in three-dimensional space has the equation. Both words have other meanings too: Plane can also mean an airplane, a level, or a tool for cutting things flat. Then there’s the third dimension, depth (the z-axis). Lower Astral Plane=fear and negative emotions. So a plane is defined by three non-colinear points. In general, Lower Dimensions are dense, heavy, rigid In geometry a "plane" is a flat surface with no thickness. In geometry, a hyperplane is a generalization of a two-dimensional plane in three-dimensional space to mathematical spaces of arbitrary dimension. Oct 6, 2020 · 5 1+1+2+4+7+11 = 26. Previously, we introduced the formula for calculating this distance in Equation 11. Circles are another type of plane shape. The equation of a circle is (x − a)2 + (y − b)2 = r2 where a and b are the coordinates of the center (a, b) and r is the radius. 2) { P + s u + t v | s, t ∈ R }. In 3D geometry, we work with points, lines, planes, and other geometric objects that exist in three-dimensional space, which we can visualise as a three-dimensional coordinate system consisting of x, y, and z axes. The plane determined by two vectors u u and v v can be written as. Second The centre point from which the distances are marked is called the origin. If we start with the Cartesian equation of the sphere and substitute, we get the spherical equation: x2 +y2 +z2ρ2sin2 ϕcos2 θ +ρ2 sin2 ϕsin2 θ +ρ2 cos2 ϕ = 22 = 22. Mar 12, 2024 · Once we enter this state, we can communicate with spiritual beings and receive guidance and wisdom from them. The handful that comes to mind as other dimensions would be Carcosa (Home of the King in Yellow), Kadath, and the Dreamlands. Jack Planes: 12 to 18 inches in length. When we define words, we ordinarily use simpler words, and these simpler words are in turn defined using yet simpler words. A plane defined via vectors perpendicular to a normal. A projective space for n = 2 is a projective plane. Farther from the Material Plane, though, the Elemental Planes are both alien and hostile. D and B can sit on the same line. Planes are two-dimensional and contain infinitely many lines, whereas lines are one-dimensional and contain infinitely many points. And how can "another plane of existence" possibly obey three-dimensional geometry? 2. Chapter "G" through "I" covers what exactly is man, man's evolution, and life throughout our Solar System. Sep 11, 2019 · Proof Other Dimensions Exist. By an argument called Cantor's diagonal (look it up, it's worth it), this type of infinity is actually larger than countable infinity. May 9, 2022 · Of course extra-dimensional spaces are going to mess with your dimensions. Typically in common verbiage, you would hear people talk about the upper and lower astral. ”. Spatial or Dimensional Separation: The planes are sometimes described as existing in different spatial or dimensional dimensions. Nov 30, 2016 · There Are Many Dimensions In The Universe . The interdimensional hypothesis is a proposal that unidentified flying object (UFO) sightings are the result of experiencing other "dimensions" that coexist separately alongside our own [1] in contrast with either the extraterrestrial hypothesis that suggests UFO sightings are caused by visitations from outside Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. Mechanical properties of two-dimensional materials and their Mar 2, 2016 · Illustrations of three-dimensional planes and their intersections are actually only two-dimensional drawings. Jan 19, 2023 · Let point \(R\) be the point in the plane such that, for any other point in the plane \(Q, ‖\vecd{RP}‖<‖\vecd{QP}‖\). A plane is a semi-permanent space with its own physical laws. Plain can also mean without special things, or well Dec 10, 2014 · Others are more circumspect. In theory, from our world they are in a direction other than the directions we are familiar with. Dimension 1 (exactly one line): All points lie on the unique line, called a projective line. Descartes discovered that with this framework he could link geometric shapes and equations. It is one of the boundary planes that lie between many of the other realms. Jul 2, 2018 · Two planes (in 3 dimensional space) can intersect in one of 3 ways: Not at all - if they are parallel. Transverse (axial) plane May 2, 2016 · Intersection in a point. Let us check the different forms of representation of a point, line, and plane in three-dimensional geometry. If u u and v v determine a plane, then their sum lies in the plane determined by u u and v v. May 12, 2017 · Two dimensions is just a point. Quadrilaterals (Rhombus, Parallelogram, etc) Rectangle, Rhombus, Square, Parallelogram, Trapezoid and Kite. Dec 21, 2020 · Example 12. That said, things like Heaven and Hell are sometimes shared by different universes. Jun 5, 2023 · Planes. The image you see (collected by the retina of your eye) also is two-dimensional. In geometry, a plane is a flat surface that extends into infinity. A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimal thin. The order of these elements represents the transformation from a single Sep 4, 2023 · 11. Because each axis is a number line representing all real numbers in R R the three-dimensional system is often denoted by R3 R 3. Here, the elements exist in their purest form--great expanses of solid earth, blazing fire, crystal-clear water, and unsullied air. Stars and Planets in the Galaxy. Where this Grid crosses are major portals, vortexes and dimensional doorways that connect the Inner Earth and Earth to, other dimensional worlds. Planes in any space are defined as 2D objects, so even though in $\mathbb{R}^3$ (which is 3-D), the plane and the hyperplane are the same notion (which explains where the name hyperplane comes from), in higher dimensions that is no longer the case. Just as we find the two-dimensional distance between a point and a line by calculating the length of a line segment perpendicular to the line, we find the three-dimensional distance between a point and a plane by The Astral Plane. (4. First, a dimension is always a Transitive Planes that overlays all other planes, including other dimensions. A and B can sit on the same line. 2 Plane stress state at surface points of the shaft in torsion Fig. One of the most heralded science fiction stories regarding true geometric dimensionality, and often recommended as a starting point for those just starting to Between point D, A, and B, there's only one plane that all three of those points sit on. Three Dimensional Plane. These other worlds, dimensions, planes of existence, and states of being exist beyond that which is material. Just as we find the two-dimensional distance between a point and a line by calculating the length of a line segment perpendicular to the line, we find the three-dimensional distance between a point and a plane by The three-dimensional rectangular coordinate system consists of three perpendicular axes: the x x -axis, the y y -axis, and the z z -axis. The four elements mingle together as they do in the Material Plane, forming land, sea, and sky. 5: d = − − ⇀ aQP ⋅ ⇀ n ‖ ⇀ n‖, where Q is a point on the plane, P is a point not on the plane, and →n is the normal vector that passes through point Q. 1 Two-dimensional stresses on inclined section in axial loading Fig. However, what is the best definition for the direction of a 2D plane in a high dimensional space? For example, a 2D plane in the four-dimensional space. Like a plane in space, a hyperplane is a flat hypersurface, a subspace whose dimension is The multiverse is the hypothetical set of all universes. [9] Zehir, the Cloaked Serpent and his nemesis Erathis, the Law Bearer The three-dimensional rectangular coordinate system consists of three perpendicular axes: the x x -axis, the y y -axis, and the z z -axis. The reason that I want to ask This coordinate system can be translated into one, two, and three dimensions. Each of these are 2 dimensional planes within a 3 dimensional space. While a pair of real numbers suffices to describe points on a plane, the Points, Lines, and Planes. John Keel's theory of ultraterrestrials proposes that beings from these other dimensions have influenced human culture throughout history, appearing in folklore and religious texts as demons Jan 12, 2011 · Just as a 3-dimensional object can be projected onto a 2-dimensional plane, so a 4-dimensional object can be projected onto 3-dimensional space. Imagine two adjacent pages of a book. The lines of a compact topological plane with a 2-dimensional point space form a family of curves homeomorphic to a circle, and this fact characterizes these planes among the topological projective planes. It then shrinks and disappears. The curves are the projections of the hypersphere's parallels (red), meridians (blue) and so-called hypermeridians (green). A good description of a one-dimensional object is a straight line, which exists only in terms of length and working with all other surfaces and shapes in three-dimensional space. We may remember the coordinate plane from math class with the x and y-axes. These include the four dimensions immediately apparent to us (length, width, depth, time Aug 6, 2011 · The appearance of a ‘solid’ polyhedron provides users with three-dimensional image-based cues, which relates the manipulated plane to the other planes [11,80–82]. Examples of polygons include triangles, quadrilaterals, pentagons, hexagons, and so on. vessel under internal pressure p (Fig. The first is stability. In two dimensions, the plane is called the cartesian plane. \ [ ax + by + cz + d=0,\] where at least one of the numbers \ (a, b,\) and \ ( c\) must be non-zero. Cartesian Plane Definition. Dimension 0 (no lines): The space is a single point and is so degenerate that it is usually ignored. Example: A: {z=0; t=0}; B: {x=0; y=0}; You can think of this example as: A: a plane that exists at a single instant in time. 1. Thus, we can represent a vector in ℝ3 in the following ways: ⇀ v = x, y, z = xˆi + yˆj + zˆk. A plane is a two-dimensional surface with infinite length and width, and no thickness. Superstring theory, a variation on ST, requires the existence of 10 spacetime dimensions. May 24, 2023 · Yet, even in these universes, there exists that which floats in the furthest unknown. Heaven and Hell may be planes. Within that block, the regions that are closest to the prime are called the 'border ethereal'. Sep 19, 2022 · The real question is, however, if this is what Gilbert Strang really means in the question. There are two types of Euclidean geometry: plane geometry, which is two-dimensional Euclidean geometry, and solid geometry, which is three-dimensional Euclidean geometry. So D, A, and B, you see, do not sit on the same line. 95. Mar 13, 2023 · What is a multiverse? The multiverse is a term that scientists use to describe the idea that beyond the observable universe, other universes may exist as well. 5. Smoothing planes are used to remove fine shavings off of wood to create a smooth surface. Dungeons & Dragons. In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. May 17, 2023 · While two-dimensional geometry is concerned with the study of objects in two dimensions, such as points, lines, and shapes on a plane. [a] Together, these universes are presumed to comprise everything that exists: the entirety of space, time, matter, energy, information, and the physical laws and constants that describe them. A plane, as defined by Euclid, is a “surface which lies evenly with the straight lines on itself. Two slices through a leg, one a few millimeters up from the other, look almost the same, but a slice through the waist or chest gives a very Oct 16, 2021 · Source: NASA. These entities are non-physical beings made of energy bodies and soul consciousness. Jan 27, 2021 · Architectural form is derived from 4 basic elements that are further elaborated until they begin to take form and serve as reference points for the three-dimensional spaces that we inhabit. Most of the main celestial objects of the Aeon of the Jul 11, 2023 · Coronal (frontal) plane: separates the front (anterior) and back ( posterior) of the body. The normal planes are 1, 1, − 2 1,1,−2 1, 1, − 2 and 3, − 2, 4 3,−2,4 3, − 2, 4 . Etheric Plane=interface between third and fourth dimensions. Other spaces are inherently temporary (Rope Trick) or can be ended without warning (a Bag of Holding can be turned inside out). 2. Another Dimension refers to universes that are "next" to our own, which require magic or high-end technology to travel to and from. Example 12. Dimension 2: There are at least 2 lines, and any two lines meet. Solution. Jun 5, 2021 · Worldbuilding – Dimensional Cosmology. There are seven planes existence, or dimensions, in the universe. Jun 11, 2015 · The low quantum yield (∼10 −5) has restricted practical use of photoluminescence (PL) from MoS 2 composed of a few layers, but the quantum confinement effects across two-dimensional planes are believed to be able to boost the PL intensity. The three dimensional geometry is used for the representation of a point, line, or a plane. Feb 28, 2024 · Smoothing Planes: 7 to 10 inches in length. It is an amorphous realm where the will and the imagination have influence over the surrounding space, where one can will oneself to float and move. “Visualising higher dimensions is certainly harder,” says Don Marolf of the University of California, Santa Barbara (UCSB). A Portable Hole is relatively well defined, in that we have a definition of a specific object. Fig. Length, width, and depth can be considered The sum of u u and v v corresponds to laying the two vectors head-to-tail and drawing the connecting vector. 6). A dimension is a type of demiplane that breaks two of the common rules most demiplanes share. Mental Plane=concrete thought and lower mind. The proof of other dimensions in the universe took a turn for a bright future ahead as it became apparent that Einstein was wrong again. The equation of a plane is generally represented in the form: a x + b y + cz = d. The point in a three-dimensional geometry can be represented either in cartesian form or a vector form. To find the direction of the line (perpendicular to these two vectors), take the cross product of these normal vectors. Activity: Sorting Shapes. If we were to take a 3 dimensional space with axis x,y,z. Consider the distance from point (x0, y0, z0) to plane ax + by + cz + k = 0. A DIMENSION is a property of a universe. Spirit guides, guardian angels, earth angels, and Aug 4, 2017 · The plane is 5 dimensional, most mortals are 3 dimensional occupying dimensions 1 to 3 (a few come from 3 to 5). e. 1: Vectors in the Plane is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts. Jointer Planes – 20 to 24 inches in length. In 3D shapes, 3D refers to three-dimensionality. The jack plane is the general-purpose plane used for sizing timber and general smoothing work. The 3D Cartesian plane has one more axis perpendicular to the normal Cartesian plane. As the cylinder had a simple equation in cylindrical coordinates, so does the sphere in spherical coordinates: ρ = 2 is the sphere of radius 2. One standard trick is to start at the Hyperplane. Dimensions can usually be thought of as measurements in a direction. The planes form borderless stacks, one placed on top of the other, to make up Creation. the x-axis). Euclidean geometry, sometimes called parabolic geometry, is a geometry that follows a set of propositions that are based on Euclid's five postulates. Representation of a point in 3D Geometry. {P + su + tv|s, t ∈ R}. A plane has zero thickness, zero curvature, infinite width, and infinite length. In conclusion, spiritual beings exist in a multidimensional realm that is beyond our physical world. That's why they're "extra" dimensional. A quantity that has magnitude and direction is called a vector. Interactive Triangles. A plane in 3D coordinate space is determined by a point and a vector For example, the dimension of a point is zero; the dimension of a line is one, as a point can move on a line in only one direction (or its opposite); the dimension of a plane is two etc. These two pages are nothing but an intersection of planes, intersecting each other and the line between them is called the line of intersection. P = (3,–1) that are (a) parallel to the vector A = 〈 2, –4 〉 , and (b) parallel to the vector B = 〈 1, 5 〉 . zl rs zf qn re pn jq ih bb xj