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    Proving Vectors

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    Prove that S*(PxQ) = P*(QxS)
    where * is dot product and x is cross product
    if S=Sxi+Syj+Szk

    © BrainMass Inc. brainmass.com March 6, 2023, 12:46 pm ad1c9bdddf

    Solution Preview

    Please see the attached file.

    From the cross product definition:

    PxQ=(PyQz-PzQy)i + (PzQx-PxQz)j +(PxQy-PyQx)k.

    Written conveniently:

    (i j k )
    PxQ= det (Px Py Pz

    Solution Summary

    The solution is in the attachment, step-by-step, with brief explanations.