Question

What are the(x, y)components of a vector if the magnitude is 8.6 and the vector lies in the fourth quadrant and forms an angle of 39º belowthepositivex-axis.show your work?

Answer 1

That vector is

8.6(cos(-39°), sin(-39°)) ≈ (6.683, -5.412)

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A vector that is (r, θ) in polar coordinates is (r·cos(θ), r·sin(θ)) in rectangular coordinates.