Question

Vector A has magnitude 4 units, vector B has magnitude 6 units. The angle between A and B is 60°. Calculate the magnitude of 2A + 3B.

Answer 1

$2A=2\cdot4=8$

$3B=3\cdot6=18$

$2A+3B=\sqrt{8^2+18^2+2\cdot8\cdot18\cdot\cos60°}=23.065$ . Answer