💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 29 Easy Difficulty

If $ v $ lies in the first quadrant and makes an angle $ \frac{\pi}{3} $ with the positive x-axis and $ \mid v \mid = 4 $, find $ v $ in component form.

Answer

$$
v=<2,2 \sqrt{3}>
$$

More Answers

Discussion

You must be signed in to discuss.

Video Transcript

So for the given problem, If v lies in the first quadrant and makes an angle of pi over three with the positive X. Axis and the magnitude of the is four, we want to find V. In component form. So one way we could look at this is recognizing that pi over three because degrees. So how we're going to look at this is we could do um V the magnitude times code sign. What are vector is going to look like? Is V co Cynthia to the sign painter because we're creating a right triangle. Um and if we do this, we'll be able to see that there's going to be an X. Component, that's vico, santa, ana Y component, that's be signed data. So what we're gonna end up having is four times co sign of 60 that's going to give us to And then four times co sign Are four times seven or 60 that's going to give us to route three.