STANDARDPhysics-Vectors
STANDARD Physics Angle between vectors MCQ Question
Type: MCQ-conceptual-Medium
If A = î + 2ĵ - k̂, B = -î + ĵ - 2k̂, then angle between A and B is
A
π/2
B
0
C
π/3
D
π/6
Correct Answer
Option C
Detailed Explanation
The dot product A·B = (î + 2ĵ - k̂)·(-î + ĵ - 2k̂) = -1 + 2 + 2 = 3. The magnitudes are |A| = √6 and |B| = √6. Using the formula A·B = |A||B|cosθ, we find cosθ = 3/6 = 1/2, so θ = cos⁻¹(1/2) = π/3.
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