Physics

If vector a has a magnitude of 29 units and points in the positive y direction. when vector b is added to a the resultant is 24 units in the negitive y direction, what is the magnitude of b?

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  1. Do simple vector addition:

    a = (0,29)
    b = (x,y)
    a+b = (0,-24)

    0+x = 0 ==> x = 0
    29 + y = -24 ==> y = -53

    So, b = (0,-53)

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