You can change the vector in the form above to see how its diagram changes.
Notice that the v 1 component is measured along the x-axis, while the v 2 component is measured along the y-axis. The 2-dimensional vector v = (v 1, v 2) in the diagram below has magnitudeġ2.81, the distance from the origin to (8, 10), and direction, the orientation of the arrow from the origin to (8, 10). If the n-tuples are complex numbers, then v is an element of C n, an n-dimensional complex space. A vector v can be represented by an n-tuple of real numbers:Ĭonsidered to be elements (points) of R n, an n-dimensional real space. Orthonormal basis | vector cross product | referencesĪ vector is a mathematical object with magnitude and direction used to represent items such as the velocity, acceleration, or momentum of an object. Linear transformations | subspaces of R n | gram-schmidt process Orthogonal vectors | linear dependence | basis vectors | change in basis Vector definition | vector operations | vector addition | vector dot product | vector normsĭot product geometry | work | dot product properties | euclidean space ! vectors and matrices Please show your support by joining Egwald Web Services as a Facebook Fan: Egwald Mathematics - Linear Algebra: VectorsĮgwald's popular web pages are provided without cost to users.
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