the angle between v and w is 15 radians given this informati

the angle between v and w is 1.5 radians

given this information, calculate the following:

v*w = ||v||*||w||costheta = 5*3*cos1.5 = 1.061

||3v + 3w || :

find (3v+3w).(3v +3w) = 9v^2 + 9w^2 + 18v.w = 9( 25 + 9 + 2*5*3) = 576

||3v + 3w | = sqrt(576) = 24

||1v - 2w|| :

find (1v -2w).(1v - 2w) = v^2 + 4w^2 -4v.w = 25 + 4*9 - 4*5*3 = 1

||1v - 2w|| = sqrt1 = 1