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Vector Algebra question

2024 · 31 Jan · Shift 2 · Q67
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  5. /2024 · 31 Jan · Shift 2 · Q67

Vector Algebra question

2024 · 31 Jan · Shift 2 · Q67

JEE MainPhysicsVector AlgebraMCQ+4 / −1
If two vectors A⃗\vec{A}A and B⃗\vec{B}B having equal magnitude RRR are inclined at angle θ\thetaθ, then
  1. A
    ∣A⃗+B⃗∣=2Rcos⁡(θ2)|\vec{A}+\vec{B}|=2 R \cos \left(\frac{\theta}{2}\right)∣A+B∣=2Rcos(2θ​)
  2. B
    ∣A⃗−B⃗∣=2Rcos⁡(θ2)|\vec{A}-\vec{B}|=2 R \cos \left(\frac{\theta}{2}\right)∣A−B∣=2Rcos(2θ​)
  3. C
    ∣A⃗−B⃗∣=2Rsin⁡(θ2)|\vec{A}-\vec{B}|=\sqrt{2} R \sin \left(\frac{\theta}{2}\right)∣A−B∣=2​Rsin(2θ​)
  4. D
    ∣A⃗+B⃗∣=2Rsin⁡(θ2)|\vec{A}+\vec{B}|=2 R \sin \left(\frac{\theta}{2}\right)∣A+B∣=2Rsin(2θ​)
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