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
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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) (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:
\ =\ \tan^{-1}\,-1)
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
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