Question

Find the component form of v if ||v||=2 and the angle it makes with the x-axis is 60 degrees

Answer 1

Let v = (x,y)

This then means that x = ||v||*cos(theta) and y = ||v||*sin(theta)

Answer 2

I should point out that v is a vector. The quantities x and y are scalars.

Answer 3

so i put 2 where the ||v|| goes, but where do the degrees come in?

Answer 4

oh and I should have mentioned that theta is the angle

Answer 5

so replace theta with 60

Answer 6

so x=1 and y=1.732

Answer 7

you nailed it

Answer 8

so v = (1,1.732)

Answer 9

well that one was easier than some of the others :)

Answer 10

yes it was, do you see how I got x = ||v||*cos(theta) and y = ||v||*sin(theta) ??

Answer 11

yeah, it makes sense

Answer 12

alright that's great