# Math Help - adding vectors question

1. ## adding vectors question

Hi,

I've been puzzling over this problem.

Vector A lies in the first quadrant, whereas vector B in the second quadrant. Neither vector is parallel to the x-axis. What can be said with certainty about their sum C = A + B? Choose all answers that apply.

C lies in the first quadrant.
Its component Cx is positive.
Its component Cy is positive.
Its length C is nonzero.
I think the answer is

Its component Cy is positive.
Because you're adding two vectors that are in quadrants I and II, then the y component of the new vector should be positive. Is this correct?

2. yes

3. Thanks. I also just realized that because the question stipulates that "Neither vector is parallel to the x-axis," it is also true that the length of C is non-zero.