$4\mathrm{.}1($a$)$ Find the

$($i$)$ magnitude, and

$($ii$)$ direction $($in degrees$)$ of the vector $($:$-6,3$:$)$ correct to one decimal place.

$4\mathrm{.}2$ An airplane heads due West at $650k\frac{m}{h}.$ It experiences a $15k\frac{m}{h}$ cross wind flowing in the direction $S30W.$ Find the speed and direction of the airplane. $($Leave your answer correct to $2$ decimal places.$)$

$[10]$