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
P=Pxi+Pyj+Pzk
Q=Qxi+Qyj+Qzk
https://brainmass.com/physics/scalar-and-vector-operations/proving-vector-functions-13062
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.
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