(a) Define a unit vector. (b) If is any non-zero vector and , prove that the…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

(a) Define a unit vector. (b) If

\mathbf{u}

is any non-zero vector and

\displaystyle \hat{u}=\frac{\mathbf{u}}{|\mathbf{u}|}

, prove that the magnitude of

\hat{u}

is unity. (c) A vector

\mathbf{v}

has magnitude

7

. Can

\mathbf{v}

be a unit vector? Give a reason for your answer.