Let be a non-zero vector and be a positive scalar such that is a unit vector

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\vec v

be a non-zero vector and

k

be a positive scalar such that

k\vec v

is a unit vector. Which of the following equals

k

? (a)

|\vec v|

(b)

1

(c)

\dfrac{1}{|\vec v|}

(d)

\dfrac{1}{|\vec v|^{2}}