Answer
$0$
Work Step by Step
The magnitude of a vector $v=ai+bj+ck$ is given by the formula
$||v||=\sqrt{a^2+b^2+c^2}$
Hence,
$||v||=\sqrt{3^2+1^2+(-2)^2}\\
||v||=\sqrt{9+1+4}\\
||v||=\sqrt{14}$
$||w||=\sqrt{(-3)^2+2^2+(-1)^2}\\
||w||=\sqrt{9+4+1}\\
||w||=\sqrt{14}$
Therefore,
$||v||-||w||=\sqrt{14}-\sqrt{14}=0$
