SOLUTION: If v = (2, -5), find the magnitude and direction angle of 2v.

Question 1087028: If v = (2, -5), find the magnitude and direction angle of 2v.
Answer by ikleyn(52860) (Show Source): You can put this solution on YOUR website!
.

The magnitude of the vector 2v is  =  =  = .


The direction angle of the vector 2v is the same as that of the vector v:

 =  = -2.5.


Notice that the angle  lies in QIV.



Therefore,   = ,  or, which is the same,   = .

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