Question:
Given that A + B = R and A² + B² = R². The angle between A and B is:
Given that A + B = R and A² + B² = R². The angle between A and B is:
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Always use the identity
(A+B)² = A² + B² + 2ABθ
to find the angle between two vectors.
Updated On: Mar 17, 2026
- 0
- π/4
- π/2
- π
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The Correct Option is C
Solution and Explanation
Step 1: Using the vector identity, R² = (A + B)² = A² + B² + 2ABθ
Step 2: Given that A² + B² = R², substitute in the above equation: A² + B² = A² + B² + 2ABθ
Step 3: Simplifying, 2ABθ = 0 Since A ≠ 0 and B ≠ 0, θ = 0
Step 4: Therefore, θ = (π)/(2)
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