Let u, v, and w be vectors, and let c be a scalar. Prove the given property.

(utv) . w = u . W +v. W Let u = (U1, U2), v = (V1, V2), and w = (w1, w2). Then ( u + v ) . w = ( 41, U2) + ( v1, v2) ) . (w1, w2) = . ( W1 , W2 ) = UjW1 + viw1+ = UjW1 + U2w2 + = (U1, U2) . + ( v 1 , V 2 ) . =U . W +v . W