Two vectors A→ and B→ are such that |A+B|→ = |A-B|→. The angle between the two vectors is:
Correct answer: C. 90°
- A. 0°
- B. 60°
- C. 90°
- D. 180°
Explanation
90°: If the angle between A→ and B→ is 90°, the dot product A→ · B→ would be |A→| |B→| cos(90°) = 0. This option is consistent with the given condition 2A→ · B→ = 0, as it satisfies the equation. Based on the analysis above, the angle between the two vectors A→ and B→ is 90°.
This question appeared on the ETEA MDCAT 2009 paper, which you can sit online with every answer explained.
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About Scalar Product
The scalar product of two vectors is A dot B equals AB cos theta, producing a scalar determined by their magnitudes and included angle. Applications include work done and projection of one vector on another, with perpendicular vectors giving zero and the scalar product distinguished from the vector product.
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