Question

Plzzz help me understand this!! Thank very much in advance!!

Answer 1

First write both vectors in terms of their horizontal and vertical components.

G = (40.3 m)(cos(-35.0º) x + sin(-35.0º) y)

G = (33.0 x - 23.1 y) m

(where x and y are the unit vectors that point in the positive horizontal and vertical directions, respectively)

H = (63.3 m)(cos 270º x + sin 270º y)

H = (-63.3 y) m

Then the vector sum is

G + H = (33.0 x - 86.4 y) m

which has a magnitude of

|| G + H || = √[33.0^2 + (-86.4)^2] = 92.5 m