Define
Unit vector.
Collinear vector
Zero vector
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Answers
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Unit Vector
A vector whose magnitude is unity (i.e., 1 unit) is called a unit vector.
Collinear Vectors
Two or more vectors are said to be collinear if they are parallel to the same line, irrespective of their magnitudes and directions.
Zero Vector
A vector whose initial and terminal points coincide, is called a zero vector (or null vector) . Zero vector cannot be assigned a definite direction as it has zero magnitude. Or, alternatively otherwise, it may be regarded as having any direction. The vectors represent the zero vector.
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❥ unit vector in a normed vector space is a vector of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat". The term direction vector is used to describe a unit vector being used to represent spatial direction, and such quantities are commonly denoted as d.
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❥Two or more vectors that lie on the same line or on a parallel line to this, are called collinear vectors. Two collinear vector may point in either same or opposite direction. But, they cannot be inclined at some angle from each other for sure.
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❥given a vector space X with an associated quadratic form q, written, a null vector or isotropic vector is a non-zero element x of X for which q(x) = 0. In the theory of real bilinear forms, definite quadratic forms and isotropic quadratic forms are distinct.
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