For the following statement find non-trivial examples (no zero vectors, no LHS being zero vector, but unit vectors are allowed) for which it is true. Prove it is always true, or give a counter example.
If (vector a cross vector b) = (vector a cross vector c) then vector c = vector b.

Question

For the following statement find non-trivial examples (no zero vectors, no LHS being zero vector, but unit vectors are allowed) for which it is true. Prove it is always true, or give a counter example.
If (vector a cross vector b) = (vector a cross vector c) then vector c = vector b.

unknownunknown · Answer

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Alright so let's pick two arbitrary vectors. Can you calculate that vector for me?