using a coordinate system, how is the angle or direction of a vector determined with respect to the axes of the coordinate system?

Question

hi there my problem is that i can figure out the answer of the physics

Answer 1

It's really just a cartesian to polar coordinate conversion.  Let x = the x component of the vector and y = the y-component.  The magnitude of the vector, r, is:

 

r = |(x² + y²)^1/2|

 

The vector's direction is:

 

θ = arctan(y/x)

 

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