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Physics-Scalar & Vector Products

NEET Physics Scalar & Vector Products MCQ Question

Type: MCQ-diagram based-Hard-Class 11

Consider a diagram showing a vector A in the x-y plane, resolved into its components A_x and A_y. If vector B is another vector in the same plane making an angle θ with vector A, which expression correctly represents the scalar product of vectors A and B?

Question diagram
A

A_x * B_x + A_y * B_y

B

|A| * |B| * sin(θ)

C

|A| * |B| * cos(θ)

D

A_x * A_y + B_x * B_y

Correct Answer

Option C

Detailed Explanation

The scalar product (dot product) of two vectors A and B is given by |A| * |B| * cos(θ), where θ is the angle between them. This is consistent with the definition provided in the context.

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