consider the following three displacnt vectors. vector A has a magnitude of $3\mathrm{.}40$ km and a direction that makes an angle of $32$ north and east, vector B has a magnitude of $7\mathrm{.}10$km and a direction that makes an angle of $23$ north of west, vector c has a magnitude of $3\mathrm{.}30$ km and a direction that makes an angle of $41$ north east. Determine the magnitude of the vector z$=$a$-$b$+$c