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If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

1. 0°
2. 90°
3. 45°
4. 180°

Correct answer: 90°

Solution

The condition that the magnitude of the sum of two vectors equals the magnitude of their difference implies that the dot product of the vectors is zero. This happens when the angle between the vectors is 90°.

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