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Vector Algebra

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Question

What is a unit vector, denoted by a^\hat{a}, in the direction of a given vector a\vec{a}?

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Answer

A vector whose magnitude is unity (1 unit) is called a unit vector. The unit vector in the direction of a\vec{a} is given by the formula: a^=1aa\hat{a} = \frac{1}{|\vec{a}|} \vec{a} This is valid provided a0\vec{a} \neq \vec{0}.

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