math vectors

Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c.

Can you help me think of an example im having trouble doing so

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  1. come on. You can do a cross product, right? So, pick some vectors and do the math.

    For example, let

    u = <1,1,1>
    v = <1,-1,1>
    w = <2,1,3>

    (uxv)xw = <2,0,-2>x<2,1,3> = <2,-10,2>
    ux(vxw) = <1,1,1>x<2,-1,3> = <4,-1,-3>

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