SOLUTION: a=<3,-3> Find the magnitude of the vector "a" and the smallest positive angle theta from the positive x-axis to the vector OP that corresponds to "a" I found the magnitude to

Algebra ->  Trigonometry-basics -> SOLUTION: a=<3,-3> Find the magnitude of the vector "a" and the smallest positive angle theta from the positive x-axis to the vector OP that corresponds to "a" I found the magnitude to      Log On


   



Question 235199: a=<3,-3>
Find the magnitude of the vector "a" and the smallest positive angle theta from the positive x-axis to the vector OP that corresponds to "a"

I found the magnitude to vector a which is 3squareroot2, but im pretty much lost on the rest.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


To find when converting from rectangular to polar coordinates, calculate:



Where are the given rectangular coordinates.

So:



Since the coordinate is positive, and the -coordinate is negative, the ray OP clearly lies in Quadrant IV. So what is the positive measure of the angle in the 4th quadrant such that ?

The following picture might give you a little hint if you remember that in order for the tangent to be -1, .




John