The angle the vector makes with the positive x-axis is .
A vector has an x component of -25.0 units and a y component of 40.0 units. Find the magnitude and direction of this vector.
I found magnitude to be 47.2 units (using Pythagorean theorem) but am unsure how to solve for direction. Could someone please help?
Thank you.
You have the answer partially correct...
From the info in the start of the problem you know the vector is in the 2nd quadrant. (x is negative and y is posative)
So the angle you got is the reference angle in the 2nd quadrant (it is the measure of the angle from the negative x axis not the posative)
so the measure of the angle is
Draw a picture and you will see what I mean.
Good luck