
	Where results make sense

Topic: Coordinate vectors

Related Topics

vector spatial

vector field

vector graphics

vector calculus

normed vector space

vector bundle

Four vectors

vector biology

topological vector space

unit vector

vector processor

In the News (Tue 22 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Coordinate vector
		In linear algebra, a coordinate vector is an explicit representation of a vector in an abstract vector space as an ordered list of numbers or, equivalently, as an element of the coordinate space F
		Coordinate vectors allow calculations with abstract objects to be transformed into calculations with blocks of numbers (matrices and column vectors), which we know how to do explicitly.
		The Pauli matrices which represent the spin operator when transforming the spin eigenstates into vector coordinates.
	www.brainyencyclopedia.com /encyclopedia/c/co/coordinate_vector.html (527 words)

	Coordinate Systems, Vectors, Planes FAQ
		If the vector is defined as (x,y,z) then the length of the vector is calculated from: ---------------- / 2 2 2 L = \/ x + y + z Q22.
		The magnitude of the vector is used to represent wind speed combined with the direction of the wind.
		The mathematical expression for the reflection of a vector is given by: V' = 2N.(V.N) - V where the known (and unknown) parameters are as follows: N = outward normal for the plane V = unit vector of light ray V' = unknown unit vector of reflected light ray Q40.
	www.j3d.org /matrix_faq/vectfaq_latest.html (5820 words)

	Coordinate Systems, Vectors, Planes FAQ
		The sum of the squares of all coordinates is equal to one.
		Similar in purpose to a direction vector, an outward normal are used specifically for representing the direction that a polygon surface or vertex is facing.
		In a virtual 3D environment, the position of an object is represented as a vector coordinate, the sloping surface as a plane equation and gravity is as a direction vector.
	www.flipcode.com /documents/vecfaq.html (5588 words)

	General 3D
		Vectors are described in a given coordinate system but the vector can be said to exist independently of any coordinate system.
		The X-component of a vector is its component in the direction of the X axis which is conventionally thought of as running from left to right across the paper (east).
		The vector product may be used to generate the last of an orthogonal vector triad or to calculate the moment about the origin of a force F acting at a point p (p×F).
	home.clara.net /iancgbell/maths/vectors.htm (1368 words)

	Vectors
		The reason for this introduction to vectors is that many concepts in science, for example, displacement, velocity, force, acceleration, have a size or magnitude, but also they have associated with them the idea of a direction.
		Graphically, a vector is represented by an arrow, defining the direction, and the length of the arrow defines the vector's magnitude.
		The sum of two vectors, A and B, is a vector C, which is obtained by placing the initial point of B on the final point of A, and then drawing a line from the initial point of A to the final point of B, as illustrated in Panel 4.
	www.physics.uoguelph.ca /tutorials/vectors/vectors.html (1708 words)

	Vector (spatial) - Wikipedia, the free encyclopedia
		A spatial vector is a special case of a tensor and is also analogous to a four-vector in relativity (and is sometimes therefore called a three-vector in reference to the three spatial dimensions, although this term also has another meaning for p-vectors of differential geometry).
		Also, let, for example, a vector field be expressed as three space coordinate functions of three variables, and apply the formula for the curl based on these functions, resulting in three additional functions, which represent a second vector field.
		Vectors can be contrasted with scalar quantities such as distance, speed, energy, time, temperature, charge, power, work, and mass, which have magnitude, but no direction (they are invariant under coordinate rotations).
	en.wikipedia.org /wiki/Vector_(spatial) (3151 words)

	Vectors, A Vector Field Plotting Utility
		A common problem with using discrete vector arrows to represent a vector field is that as the size of the dataset increases, the vectors become too crowded and the rendering ceases to be intelligible.
		The length of each vector arrow is determined in relation to a vector reference magnitude that may be specified by the parameter VRM and a vector reference length that may be specified, as a fraction of the viewport width, by the parameter VRL.
		Vectors belonging to the dataset whose magnitude is equal to the reference magnitude are drawn at the reference length.
	ngwww.ucar.edu /ngdoc/ng4.3/supplements/vectors (18529 words)

	Vector
		Vectors of the same type can be added to yield the resultant vector.
		The third side is the resultant vector (c) drawn from the tale of the first vector to the tip of the last vector added.
		One can move the vectors freely to connect tip-to-tale as far as the magnitudes and the directions of the vectors are intact.
	kwon3d.com /theory/vect/vector.html (704 words)

	Elementary Vector Analysis - HMC Calculus Tutorial
		Vectors can be defined in any number of dimensions, though we focus here only on 3-space.
		When drawing a vector in 3-space, where you position the vector is unimportant; the vector's essential properties are just its magnitude and its direction.
		The coordinate vectors are examples of unit vectors.
	www.math.hmc.edu /calculus/tutorials/vectoranalysis (547 words)

	Mathematical Preliminaries
		Vectors are usually thought of as living in a vector space--the set of all possible values that such a vector could take on.
		We could put these vectors into a single matrix V whose columns are the vectors to be transformed and take the dot product of each column of V with each row of A to give a set of vectors.
		The columns of the first matrix are vectors to be transformed (expressed in the old coordinate system) and the rows of the second matrix are the new coordinate basis vectors (also expressed in the old coordinate system).
	rivit.cs.byu.edu /morse/550-F95/node9.html (2071 words)

	Vectors - OneAMNotes
		A line is represented by a vector from the origin to an arbitrary point of the line, plus a direction vector in terms of λ.
		In the Cartesian form, the line and position vectors are represented in terms of the coordinate unit vectors and λ.
		The direction of the vector is determined via the right hand rule or calculation.
	javido.net /wiki/Vectors (135 words)

	homogenous coordinates
		The three-dimensional vector corresponding to any four-dimensional vector can be computed by dividing the first three elements by the fourth, and a four-dimensional vector corresponding to any three-dimensional vector can be created by simply adding a fourth element and setting it equal to one.
		Homogenous coordinate transformation matrices operate on four-dimensional homogenous coordinate vector representations of traditional three-dimensional coordinate locations.
		If any two matrices or vectors of this equation are known, the third matrix (or vector) can be computed and then the redundant T element in the solution can be eliminated by dividing all elements of the matrix by the last element.
	bishopw.loni.ucla.edu /AIR5/homogenous.html (496 words)

	Vectors and matrices - DmWiki
		Some vectors can be thought of as "floating" anywhere in space while maintaining the same direction, while other vectors are bound to a particular point in space.
		So this vector is 4 units long in the x axis, 5 units long in the negative direction on the y axis, and 3 units long on the z axis.
		The same vector will have different coordinates in each coordinate system, so it is typical to have a standard "world" coordinate system that acts as a base from which all other coordinate systems can be defined.
	www.devmaster.net /wiki/Matrix (2284 words)

	Linear Algebra (Math 2318) - Vector Spaces - Change Of Basis
		Note that by Theorem 1 of the previous section we know that the linear combination of vectors from the basis will be unique for u and so the coordinate vector
		this is, of course, what makes the standard basis vectors so nice to work with. The coordinate vectors relative to the standard basis vectors is just the vector itself.
		The coordinate vector for v relative to the standard basis is then,
	tutorial.math.lamar.edu /AllBrowsers/2318/ChangeOfBasis.asp (750 words)

	Matrix Methods
		Cartesian Coordinates Polar Coordinates
		Cylindrical polar coordinates Spherical polar coordinates Scaled Cartesian coordinates Added square Cartesian Coordinates
		Dot Product Cross Product Geometric Product Other Vector Products Curvature and Tortion
	www.iancgbell.clara.net /maths/vect0.htm (108 words)

	Quizz on Coordinate Vectors
		This quizz may help you develop your understanding of coordinate vectors.
		-tuple of numbers whose coordinates describe the location of the tip of a representing arrow in relation to the tail.
		Return to the main document on arrows and vectors.
	www.ualberta.ca /dept/math/gauss/fcm/LinAlg/InRn/Rn/CrdntVctr_Qzz.htm (123 words)

	NetCDF Coordinate Conventions: coordinate systems and trajectories
		The monotonic coordinate would be the obvious choice for the main coordinate variable, since it orders the points.
		It is possible that one or more of the associated coordinate variables might be monotonic and an equally valid choice as main coordinate variable.
		Some of the coordinate variables might not be employed in any of the coordinate systems e.g.
	www.unidata.ucar.edu /staff/russ/netcdf/coords/0118.html (880 words)

	Derivatives of basis vectors
		Tangent vectors are derivation operators on functions, and covectors are operators on vectors.
		Hatted vectors are usually derived from an orthonormal basis of one-forms, also sometimes called a coframe.
		Hats over vectors conventionally imply that the vectors are units vectors with respect to a (positive-definite) metric.
	www.physicsforums.com /showthread.php?t=135032 (1668 words)

	Review of vector Mathematics
		The dot product of two vectors is a scalar, so the dot product is sometimes called the `scalar product.' The dot product of two vectors
		In dynamics the dot product is used to define work and power, to reduce a vector to components, and to reduce vector equations to scalar equations.
		is a vector, the cross product is also called the vector product to distinguish it from the scalar product (the dot product).
	www.eng.fsu.edu /~ecollins/dynamics/vectors (347 words)

	Two Dimensional Vectors and Coordinate System
		The components of a vector can never have a magnitude greater than the vector itself.
		There is a situation where a component of a vector could have a magnitude that equals the magnitude of the vector.
		For the sum of two vectors to equal zero the sum of their respective components must equal zero.
	physicsed.buffalostate.edu /SeatExpts/mechanic/vec_coor/solution.htm (180 words)

Try your search on: Qwika (all wikis)