Browse Questions

# If $\overrightarrow a$ is a non zero vector with magnitude $a$ and $\lambda a$ is a non zero scalar then $\lambda\overrightarrow a$ is a unit vector if $\lambda=?$

Given $|\lambda \overrightarrow a|=1$
$\Rightarrow\:|\lambda|.|\overrightarrow a|=1$
$\Rightarrow\:|\lambda|=\large\frac{1}{a}$
$or\:\:\lambda=\pm \large\frac{1}{a}$