Question $17$

Given the points $P(-2,-2,2)$ and $Q(-4,-3,5),$ find the vector of length $6$ in the direction opposite vec$(QP).$

$\frac{12}{\sqrt[\phantom{2}]{14}}i+\frac{6}{\sqrt[\phantom{2}]{14}}j-\frac{18}{\sqrt[\phantom{2}]{14}}k$

$\frac{-12}{\sqrt[\phantom{2}]{14}}i-\frac{6}{\sqrt[\phantom{2}]{14}}j+\frac{18}{\sqrt[\phantom{2}]{14}}k$

$\frac{-3}{\sqrt[\phantom{2}]{14}}i+\frac{2}{\sqrt[\phantom{2}]{14}}j$

$\frac{-2}{\sqrt[\phantom{2}]{14}}i-\frac{1}{\sqrt[\phantom{2}]{14}}j+\frac{3}{\sqrt[\phantom{2}]{14}}k$

$\frac{2}{\sqrt[\phantom{2}]{14}}i+\frac{1}{\sqrt[\phantom{2}]{14}}j-\frac{3}{\sqrt[\phantom{2}]{14}}k$

None of the above.