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Math Help - adding vectors question

  1. #1
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    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?
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  2. #2
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  3. #3
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    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.
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