What is unit vector? Give one example and use.
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In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat": {\displaystyle {\hat {\imath }}}{\hat {\imath }} (pronounced "i-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. Two 2D direction vectors, d1 and d2 are illustrated. 2D spatial directions represented this way are numerically equivalent to points on the unit circle.
The same construct is used to specify spatial directions in 3D. As illustrated, each unique direction is equivalent numerically to a point on the unit
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Answer:
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unit vector is simply a vector of unit length with the same direction as a given vector. I
eg:For example, vector v = (1,3) is not a unit vector, because its magnitude is not equal to 1, i.e., |v| = √(12+32) ≠ 1
uses:These unit vectors are commonly used to indicate direction, with a scalar coefficient providing the magnitude
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