Physics · Vectors and Scalars

JEE Main 2024 — 31 January, Shift 2 — Question 42

If two vectors A⃗\vec{A} and B⃗\vec{B} having equal magnitude R are inclined at an angle θ\theta, then

  1. Option A:

    ∣A→−B→∣=2Rsin⁡(θ2)|\overrightarrow{\mathrm{A}}-\overrightarrow{\mathrm{B}}|=\sqrt{2} \mathrm{R} \sin \left(\frac{\theta}{2}\right)

  2. Option B:

    ∣A→+B→∣=2Rsin⁡(θ2)|\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}|=2 R \sin \left(\frac{\theta}{2}\right)

  3. Option C:

    ∣A→+B→∣=2Rcos⁡(θ2)|\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}|=2 R \cos \left(\frac{\theta}{2}\right)

    Correct
  4. Option D:

    ∣A→−B→∣=2Rcos⁡(θ2)|\overrightarrow{\mathrm{A}}-\overrightarrow{\mathrm{B}}|=2 R \cos \left(\frac{\theta}{2}\right)

Answer: C

Step-by-step solution

With rise in temperature, the Young's modulus of elasticity

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Vectors and Scalars
Topic
Properties and addition/Subtraction of Vectors
If two vectors vec A and vec B having equal magnitude R are inclined… | JEE Main 2024 PYQ with Solution · DhiX AI