what is unit vector ? what is its function?
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A unit vector is a vector of length 1, sometimes also called a direction vector (Jeffreys and Jeffreys 1988). The unit vector having the same direction as a given (nonzero) vector is defined by. where denotes the norm of , is the unit vector in the same direction as the (finite) vector .
In such cases, for convenience, vectors are often "normalized" to be of unit length. These unit vectors are commonly used to indicate direction, with a scalar coefficient providing the magnitude. A vector decomposition can then be written as a sum of unit vectors and scalar coefficients.
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