Physics and vectors..........?

1.)The following horizontal forces act on an object: A.) has a magnitude of 6.0 N and is in the + y direction; B.) has a magnitude of 10.0 N and is in the - x direction; C.) has a magnitude of 8.0 N and is at an angle of 45 degrees clockwise from hte + x direction. Find the magnitude and direction of A + B - C.

Physics and vectors..........?
To do vector addition, break down the vectors into their components.





A and B are already broken down.





So for C, the x component is 8N cos (-45 degrees)


The y component is 8N sin (-45 degrees)





The negative is to follow the usual convention that angles are measured counterclockwise from positive x.





Then add the components.





Use pythagorus to get the total magnitude.





Use arctan (y/x) to get the angle. Use your common sense to resolve the ambiguity in the arctan function.





Good luck!