An electron with a velocity vec$(v)=(-3\mathrm{.}0$hat$()+4\mathrm{.}0$hat$())k\frac{m}{s}$ moves through a magnetic field given by vec$(B)=(3\mathrm{.}0$hat$()+4\mathrm{.}0$hat$())mT.$

$($a$)$ Calculate the two components of the velocity that are parallel $v_{||}$and perpendicular to the magnetic field.

$($b$)$ What is the radius of the motion?

The mass of the electron is $m=9\mathrm{.}11{10}^{-31}kg.$