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Math Help - Triple Product Vector

  1. #1
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    Triple Product Vector

    For vectors a and b, let vector c=a x (b x a). Show that vector c lies in the plane containing vectors a and b.

    Thanks
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  2. #2
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    the cross product is always orthogonal/perpendicular or 90 degrees from the 2 vectors it forms right?


    so like if you had the unit vectors for the x axis and the y axis and you took their cross products you'd get:

    (1,0,0) x (0,1,0) = (0,0,1)

    So if you took that with the cross product of the other say the x axis you should get something perpendicular to both the x axis and the z axis, which is the y axis.

    Does that help any?
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