Ask
your own question, for FREE!

Mathematics

OpenStudy (anonymous):

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

jimthompson5910 (jim_thompson5910):

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

jimthompson5910 (jim_thompson5910):

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

OpenStudy (anonymous):

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

jimthompson5910 (jim_thompson5910):

oh and I should have mentioned that theta is the angle

jimthompson5910 (jim_thompson5910):

so replace theta with 60

OpenStudy (anonymous):

so x=1 and y=1.732

jimthompson5910 (jim_thompson5910):

you nailed it

jimthompson5910 (jim_thompson5910):

so v = (1,1.732)

OpenStudy (anonymous):

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

jimthompson5910 (jim_thompson5910):

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

OpenStudy (anonymous):

yeah, it makes sense

jimthompson5910 (jim_thompson5910):

alright that's great

Can't find your answer?
Make a FREE account and ask your own question, OR you can help others and earn volunteer hours!

Latest Questions

Lionblaze15:
Baby I know it's hard But I know you're the one We gonna party all night We gonna

5 seconds ago
8 Replies
1 Medal

nbvh:
segment A prime B prime has endpoints located at A' (0, 0) and B' (2, 0). It was dilated at a scale factor of one half from center (2, 0).

4 hours ago
0 Replies
0 Medals

iichelsea:
If 2004-01-03-01-00_files/i0180000.jpg, then 2004-01-03-01-00_files/i0180001.jpg is a counterexample for which conjecture? A.

5 hours ago
0 Replies
0 Medals

Nigelresssee:
The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries.

6 hours ago
2 Replies
1 Medal

gggdgb:
The data set represents the responses of 15 students who were asked how many text messages they send in a day.

1 hour ago
1 Reply
0 Medals

Soggynugget:
Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 46u00b0, and the kite string forms a straight segment that is 80

6 hours ago
4 Replies
1 Medal

payton:
Which value, when placed in the box, would result in a system of equations with i

7 hours ago
4 Replies
2 Medals

payton:
What is the solution to the system of equations? y = 1/3x - 10 2x + y = 4 (u20138

7 hours ago
9 Replies
2 Medals

payton:
y = u20135x + 30 x = 10 What is the solution to the system of equations? (u201320

7 hours ago
8 Replies
2 Medals

payton:
Ernesto tried to determine the solution for the system of equations using substitution.

7 hours ago
5 Replies
2 Medals