Not entirely sure if by “*” this means dot product or cross product, but I’ll go under the assumption of dot product.
To find (r+v)*w, we start by adding vectors r + v.
r+v = <r1+v1, r2+v2, r3+v3>
r+v = <9+3, -7+-6, 7+9>
r+v = <12, -13, 16>
Lets refer to r+v = u
(r+v) * w =
u * w = < u1*w1+u2*w2+u3*w3>
u * w = < (12*-3)+ (-13*-6)+(16*6)>
u * w = < -36+78+96> = 138
Feel free correct me if something is out of place. Hopefully this helps.
