Question:

Given that A + B = R and A = B = R. What should be the angle between A and B?

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For equal vectors, geometry simplifies vector addition greatly.
Updated On: Mar 20, 2026
  • 0
  • \(\pi/3\)
  • \(2\pi/3\)
  • π
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The Correct Option is B

Solution and Explanation


Step 1:
Using vector formula R² = A² + B² + 2ABcosθ
Step 2:
Given A=B=R R² = R² + R² + 2R²cosθ
Step 3:
1 = 2(1+cosθ) ⟹ cosθ=\frac12 ⟹ θ=(π)/(3)
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