Question

Sendo u=(2,3), v=(-1,4) e w=(-2,-1), determine:
a) u + 2v
b) -u
c) u - v
d) 3u - 2v + w
e) -u -v + 2w

Answer 1

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

a) u + 2v

(2, 3) +  2(- 1, 4) =

(2, 3) + (- 2, 8) =

(0, 11)

b) -u

- (2, 3) =

(- 2, -3)

c) u - v

(2, 3) - (- 1, 4) =

(2, 3) + (1, - 4) =

(3, - 1)

d) 3u - 2v + w

3(2, 3) - 2(- 1, 4) + (- 2, - 1) =

(6, 9) + (2, - 8) + (-2, -1) =

(6, 0)

e) -u -v + 2w

- (2, 3) - (- 1, 4) + 2(- 2, - 1) =

(- 2, - 3) + (1, - 4) + (- 4, -2) =

(- 5, -9)