Physics-Scalar & Vector Products

NEET Physics Scalar & Vector Products MCQ Question

Type: MCQ-diagram based-Hard-Class 11

Imagine a diagram similar to Fig. 4.10, where two vectors A and B make an angle θ with each other. The resultant vector R is drawn using the parallelogram method. If SN is perpendicular to OP and PM is perpendicular to OS, which of the following expressions correctly represents the relationship between the magnitudes of vectors A, B, and R?

Question diagram
A

R^2 = A^2 + B^2 + 2AB cos θ

B

R = A + B sin θ

C

R = A^2 + B^2 - 2AB cos θ

D

R^2 = A^2 + B^2 - 2AB sin θ

Correct Answer

Option A

Detailed Explanation

The expression R^2 = A^2 + B^2 + 2AB cos θ is derived from the parallelogram law of vector addition, as described in the NCERT context.

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