Let u 4i 2j V 4i j and w 2i Find 3u 4v w 3u 4v w

Let u = - 4i + 2j. V = 4i - j. and w = - 2i. Find 3u - (4v - w). 3u - (4v - w) = (Type your answer in terms of i and j.)

Solution

u =-4i +2j , v =4i -j , w =-2i

3u -(4v -w)

=3(-4i +2j) -(4(4i -j) -(-2i ))

=(-12i +6j) -(16i -4j +2i )

=(-12i +6j) -(18i -4j )

=-12i +6j -18i +4j

=-30i +10j

3u -(4v -w)=-30i +10j