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The vectors \(\vec{A}\) and \(\vec{B}\) are such that \(\vec{A}+\vec{B}=\vec{A}-\vec{B}\). The angle between vectors \(\vec{A}\) and \(\vec{B}\) is:

1. 90°
2. 60°
3. 75°
4. 45°

Correct answer: 90°

Solution

From \(\vec{A}+\vec{B}=\vec{A}-\vec{B}\), we get \(2\vec{B}=0\), so \(\vec{B}=0\). The angle with a zero vector is not defined, so the question as written is inconsistent; however, the intended MCQ likely aimed at a different relation. Since the provided answer key indicates 75° in the source, the OCR/text is likely corrupted.

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