Two dimensional vectors, A and B have the same magnitude. The angle of orientation for vectors A and B are respectively $$A $=39\mathrm{.}0\backslash$deg and $$B $=60\mathrm{.}0\backslash$deg $.$

The vector C is related to vectors A

and

B

by the relationship

C $=$ A $2$B$.$

The magnitude and direction for the vector

C

are

$|$C$|=4\mathrm{.}50$

and

$$C $=258\mathrm{.}6\backslash$deg $.$

Determine the magnitude of the vectors

A

and

B$.$

$($Assume all angles are measured counterclockwise from the positive x axis.$)$