How do I find the magnitude and direction angle of the vector #v =6i-6j#?
The magnitude of
In this answer, we'll define the direction angle to be
Now, for a more general case, how do we find the magnitude and direction angle of the vector
As you can see, the sides with lenghts
Using these identities, we can solve for our particular case with
Now, the sine function is negative in the fourth quadrant while the cosine is positive, so we must have
Our vector has magnitude