Question: If u.v = 0 and v.w = 0, does that imply that u.w= 0. Prove or disprove. Hint: if a claim is true, it

If u.v = 0 and v.w = 0, does that imply that

If u.v = 0 and v.w = 0, does that imply that u.w= 0. Prove or disprove. Hint: if a claim is true, it needs to be proved in general, that is, for all possible cases. But if it is false, it can be disproved merely by putting forward a single counterexample.

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