Vector AdditionEasyQuestion 5106
Question
If two equal vectors of magnitude A are inclined at angle θ to each other, the magnitude of their resultant is:
- A2A cosθ
- B2A cos(θ/2)Correct
- CA cos(θ/2)
- D2A sinθ
Correct answer
2A cos(θ/2)
Explanation
For two equal vectors of magnitude A at angle θ: R = A√(2+2cosθ) = A√(4cos²(θ/2)) = 2A cos(θ/2).