OpenStudy (anonymous):

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

6 years ago
jimthompson5910 (jim_thompson5910):

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

6 years ago
jimthompson5910 (jim_thompson5910):

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

6 years ago
OpenStudy (anonymous):

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

6 years ago
jimthompson5910 (jim_thompson5910):

oh and I should have mentioned that theta is the angle

6 years ago
jimthompson5910 (jim_thompson5910):

so replace theta with 60

6 years ago
OpenStudy (anonymous):

so x=1 and y=1.732

6 years ago
jimthompson5910 (jim_thompson5910):

you nailed it

6 years ago
jimthompson5910 (jim_thompson5910):

so v = (1,1.732)

6 years ago
OpenStudy (anonymous):

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

6 years ago
jimthompson5910 (jim_thompson5910):

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

6 years ago
OpenStudy (anonymous):

yeah, it makes sense

6 years ago
jimthompson5910 (jim_thompson5910):

alright that's great

6 years ago