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If |(A) + (B)|2 = A2+ B2, then:

If |(A) + (B)|2 = A2+ B2, then:

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Answer #1

Definition of dot product:

For same vectors:

Now,

We can write:

Now, if the angle between the vectors is 90 degrees, then

We can see now, that we have arrived the given equation. Therefore, we can conclude that the and the are perpendicular to each other.

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