Use the vectors u 5 2 v 3 2 and w 2 4 to find the indicat

Use the vectors u = (5, 2), v = (-3, 2) and w = (2, -4) to find the indicated quantity. State whether the result is a vector or a scalar. (u middot 2v)w

Solution

u = ( 4,2) v ( -3, 2) w = (2,-4)

2v = (-6, 4)

u.2v = dot product of u and 2v = (4,2).( -6, 4) = (-24 +8) = -16

(u.2v)w = (2, -4)(-16) = ( -32, 64)

We can see its i a vector quantity