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The vectors A and B are such that |A + B| = |A − B|. The angle between the two vectors is

1. 60°
2. 45°
3. 75°
4. 90°

Correct answer: 90°

Solution

The condition |A + B| = |A − B| implies that the magnitudes of the sum and difference of the vectors are equal. Squaring both sides and simplifying using the vector magnitude formula, we find that the angle between the vectors must be 90°.

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