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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

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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.

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