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°.
Last updated
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.
Practise Vectors and Equilibrium
431 free Vectors and Equilibrium MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Physics questions like this
Physics is on 13 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.