Question

Make a sketch, roughly to scale, to find the x- and y-components of the

following vectors. In each case, find the vector’s magnitude and the

angle, measured counterclockwise, that it makes with the +x-axis.

Given. (a) Magnitude 7.40 m, at an angle 30 °

; (b) magnitude 15 km, at

an angle 225 °

; and (c) magnitude 9.30 cm, at an angle 323 °

Answer 1

a)

$$x=7.4\cos{30}=6.4\ m\\y=7.4\sin{30}=3.7\ m$$

b)

$$x=15\cos{225}=-10.6\ km\\y=15\sin{225}=-10.6\ km$$

c)

$$x=9.3\cos{323}=7.4\ cm\\y=9.3\sin{323}=-5.6\ cm$$