Grandeza: For the quadrantal angles, just remember that Cosine represents the x-value, and sine represents the y value. When the angle is 0, then we are look at the point on the x access, to the right of 0. The value there would be (1,0), so cosine(0) = 1, and sine(0) = 0.
Kinzer: Vectors only have magnitude and direction, they are not fixed upon any point. You can move vectors around, and it doesn't change their magnitude and direction. Coefficients change the magnitude of the vector, but not the direction. Multiplying by -1 means turning the vector in the opposite direction, aka 180 degree. Adding Vectors is just putting the tail of one of the vectors at the head of the other, and then completing the triangle. IE A+B means put the tail of B at the head of A, and draw the vector from the tail of A to the head of B. To find the angle, you just use trigonometry.
EDIT: A 2 dimensional vector can be given by either magnitude and direction, or X and Y coordinates. You can switch between the two by using the formula x = r cos(theta) and y = r sin(theta), r^2 = x^2+y^2, where r is magnitude and theta is direction in angle. You can add vectors by adding their x and y components and then calculating r and theta.
Minty Flesh: I don't think that's factorable. I could be wrong, since I haven't taken Algebra in awhile, but I don't think you can get anything worthwhile. Can anybody else do this one?