Question

find the indicated quantity below assuming that u = <-5,4>, v=<-2,3> and w = <1,6> (u-w) * (v-u)

Answer 1

We are to find (u-w) . (v-u)

u = <-5,4>, v = <-2, 3> and w = <1, 6>

(u - w) = (-5-1, 4-6) = (-6, -2)

(v - u) = (-2 - (-5), 3-4) = (3, -1)

(u - w) * (v - u) = ( - 6 (3) + (-2) (-1) )

(u - w) * (v - u) = ( -18 + 2 )

(u - w) * (v - u) = -16

Therefore, (u-w) * (v-u) = -16