Question

If $\vec{a}$ is a nonzero vector of magnitude $a$ and $\lambda$ is a nonzero scalar, then $\lambda \vec{a}$ is a unit vector if

• A. $\lambda = 1$
• B. $\lambda = -1$
• C. $a = |\lambda|$
• D. $a = \dfrac{1}{|\lambda|}$

Hint:

Magnitude of a scalar multiple of a vector follows the rule $|\lambda \vec{a}| = |\lambda|\,|\vec{a}|$.

Answer 1

The Correct Option is D