Question

Let u = <5, 6>, v = <-2, -6>. Find -2u + 5v.

<-20, -42>
<-20, 0>
<0, 18>
<-6, 0>

Answer 1

\[ if \ \vec u = <u_x, u_y> \\ and \ \vec v = <v_x, v_y> \\ then \\ -2 \vec u + 5 \vec v \\ = -2<u_x, u_y> + 5<v_x, v_y> \\ = <-2u_x + 5 v_x, -2 u_y + 5 v_y>\]