Question: Find the work done in moving a particle from P=(0http://webwork2.math.utah.edu/webwor...144/char3B.png0) to Q=(4http://webwork2.math.utah.edu/webwor...144/char3B.png7) if the magnitude and direction of the force are given by v=http://webwork2.math.utah.edu/webwor...144/char3C.png1http://webwork2.math.utah.edu/webwor...144/char3B.png4http://webwork2.math.utah.edu/webwor...144/char3E.png.

Converted to standard form: PQ = <4,7>

Length of force vector: ||v|| = sqrt(17)

Took arctan(4/1) to find direction: 75.96 (degrees)

u= sqrt(17)[cos(75.96), sin(75.96)]

This whole vector physics application thing is still really confusing to me. Could someone show me how to solve the rest of this problem and try to explain the generalities behind these sorts of applications to make it easier to solve others and understand them better? Thanks!