Pre calculus HW question

Question

Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely.)

u= 7i, v= 2i- 6j

Answer 1

2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely.)

u= 7i, v= 2i- 6j

2u = 2*7i = 14i

-3v = -3*(2i-6j) = -6i +18j

u + v = 7i + 2i-6j = 9i - 6j

3u - 4v = 3*7i - 4(2i - 6j) = 21i -8i +28j = 13i + 24j

Answer 2

2u = 2*7i = 14i

-3v = -3*(2i-6j) = -6i + 18j

u + v = 7i + 2i - 6j = 9i - 6j

3u - 4v = 3*7i - 4(2i - 6j) = 21i - 8i + 24j = 13i - 24j