Problem: V is a vector 24.8 units in magnitude and points an angle of 23.4° above the negative axis.(a) Sketch this vector.(b) Calculate Vx and Vy.(c) Use Vx and Vy to obtain (again) the magnitude of V. [ Note: Part (c) is a good way to check if you've resolved your vector correctly.](d) Use Vx and Vy to obtain (again) the direction of V.

FREE Expert Solution

2D vector Magnitude:

|v|=vx2+vy2

2D vector direction:

tanθ=vyvx

Vector decomposition:

vx=|v| cos θvy=|v| sin θ

View Complete Written Solution
Problem Details

V is a vector 24.8 units in magnitude and points an angle of 23.4° above the negative axis.
(a) Sketch this vector.
(b) Calculate Vx and Vy.
(c) Use Vx and Vy to obtain (again) the magnitude of V. [ Note: Part (c) is a good way to check if you've resolved your vector correctly.]
(d) Use Vx and Vy to obtain (again) the direction of V.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Trig Review concept. You can view video lessons to learn Trig Review. Or if you need more Trig Review practice, you can also practice Trig Review practice problems.