Question

Find three nonzero vectors a, b, and c such that a × b = a × c != 0 but b != c.

Answer 1

9514 1404 393

Answer:

a = {1, 2, 3}, b = (2, 4, 7}, c = (-3/14, -3/7, 5/14}

Explanation:

For the above vectors, ...

a × b = a × c = (2, -1, 0)

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Here, c is found to be a scaled version of (a×(a×b)).