Solve for a vector needed to cancel out given sets of forces

asilvester635

Joined Jan 26, 2017
73
For this assignment, I am given sets of forces and asked to solve for the force(s) needed to cancel them out. In this case, I am asked to solve for the last vector, which is vector D. I've successfully found its x and y component, magnitude, and mass (kg). I've also checked if all of their combined x and y components added up to zero by adding the x and y components for all vectors A, B, C, and D. What I don't understand is the answer I got for the direction of vector D. When I drew a diagram for vector D, it's located in quadrant 4, since x-component is 1.23 N, and y-component is -0.37 N. The angle I got was 253 degrees, which means that the vectors should be in quadrant 3, but according to my x and y component, it's pointing in quadrant 4. Did I make a mistake when calculating the direction of vector D? Below is my work.

RBR1317

Joined Nov 13, 2010
621
In the old days we would plot the vectors on polar graph paper, then add the vectors with a bow compass and triangle.

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