How do I find the direction angle of vector #<-2, -5>#?
Decide from where you are going to measure your angle. Let's go with the convention: measuring a positive angle going counterclockwise from the positive x-axis.
Draw your vector!
Figure out the angle your vector makes with the x-axis, using some trig.
Figure out the overall angle starting from the positive x-axis from your sketch.
Now, you could actually have an infinite amount of solutions depending on where you are measuring your angle from (or you could just keep adding
For example, another valid solution is to say that your direction angle, measured clockwise from the positive
For this case, I'm going to say the final answer is:
The direction angle for