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Physics-Scalar & Vector Products

NEET Physics Scalar & Vector Products MCQ Question

Type: MCQ-diagram based-Hard-Class 11

Consider a vector A\mathbf{A} in a plane described by its components AxiA_x \mathbf{i} and AyjA_y \mathbf{j}. If the vector makes an angle θ\theta with the x-axis, which of the following equations correctly represents the relationship between AxA_x, AyA_y, and AA (magnitude of A\mathbf{A})?

Question diagram
A

A_x = A cos⁡\cos θ\theta $$\textand{ and } A_y = A sin⁡\sin θ\theta

B

A_x = A sin⁡\sin θ\theta $$\textand{ and } A_y = A cos⁡\cos θ\theta

C

A_x = A tan⁡\tan θ\theta $$\textand{ and } A_y = A cot⁡\cot θ\theta

D

A_x = A cos⁡\cos θ\theta $$\textand{ and } A_y = A tan⁡\tan θ\theta

Correct Answer

Option A

Detailed Explanation

According to the NCERT context, the components of a vector A\mathbf{A} are given by Ax=Acos⁡θA_x = A \cos \theta and Ay=Asin⁡θA_y = A \sin \theta based on the angle θ\theta with the x-axis.

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