Verified Solution • 2025–26 Session hard

QJEEM_2024_8: JEE Main 2024 JEEM_2024_8 Solution: Two vectors each of magnitude A are inclined at angle θ with…

Two vectors each of magnitude A are inclined at angle θ with each other, then magnitude of resultant vector is?

Multiple Choice Options

  • A A cos²(θ/2)
  • B 2A cos(θ/2)
  • C 2A cosθ
  • D A cos(θ/2)

Step-by-Step Verified Solution

R = √(a² + b² + 2ab cos θ) => a = b = A => R = √(A² + A² + 2A² cos θ) => R = A√(2 + 2cos θ) => R = 2A cos(θ/2)

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