NCERT · Class 11 · Physics · Motion in a PlaneIf unit vectors $\hat{i}$ and $\hat{j}$ are along the x and y axes respectively, what is the value of $\hat{i} \cdot \hat{j}$?
Step-by-Step Solution
Since $\hat{i}$ and $\hat{j}$ are mutually perpendicular unit vectors, the angle between them is $90^\circ$. Therefore, their dot product is $\cos(90^\circ) = 0$.
Detailed Options Breakdown
Option : 0 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Plane.
Option 2: -1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Plane.
Option 3: Undefined
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Plane.
💡 Study Guide: This question tests core syllabus concepts from Motion in a Plane. For formulas, key summaries, and mock exam reference guides, read the full Motion in a Plane Revision Notes.