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If A * B = 0 (the dot product), can you conclude that one of the...

If A * B = 0 (the dot product), can you conclude that one of the vectors has zero magnitude? Explain

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Answer #1

If = 0, then the following could be the possibilities:

A = 0

or

B = 0

or

So, we cannot conclude with certainty that one of the vectors has zero magnitudes. It might be possible that both of them are not zero but theta is 90 and hence dot product is zero.

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