Find u v u v and 3u 5v u 43 v 35 a u v b u v c 3u

Find u + v, u - v, and 3u - 5v.

u = (4,3), v = (3,5)

(a) u + v = ???

(b) u - v = ???

(c) 3u - 5v = ???

Solution

u = (4,3), v = (3,5)

(a) u + v = (4,3)+(3,5)= (4+3,3+5)=(7,8)

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

(c) 3u - 5v =3*(4,3)- 5*(3,5)=(3*4,3*3)-(5*3,5*5)=(12,9)-(15,25)= (12-15 ,9-25)=(-3,-16)