Question

If a is a non-zero vector of magnitude a and $\lambda$ is a non-zero scalar, then $\lambda$ a is unit vector if

a) $\lambda =1$

b) $\lambda =-1$

c) $a=|\lambda |$

d) $a=\frac{1}{|\lambda |}$

Answer 1

Vector $\lambda$ a is a unit vector, if $|\lambda a|=1$ $[\because \lambda \ne 0]$
$\Rightarrow a=\frac{1}{|\lambda |}$ [given $|\overrightarrow{a}|=0$]