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JEE Main
Exam
JEE Main
Subject
Physics
Chapter
Mathematics in Physics

JEE Main · Physics · Mathematics in Physics

If A=B+C have scalar magnitudes of 5,4,3 units respectively, then...

If A=B+C\mathbf{A}=\mathbf{B}+\mathbf{C} have scalar magnitudes of 5,4,3 units respectively, then the angle between AA and C\mathbf{C} isIf A=B+C have scalar magnitudes of 5,4,3 units respectively, then the angle between A and C is

Options

  1. Acos⁡−1(3/5)\cos ^{-1}(3 / 5)
  2. Bcos⁡−1(4/5)\cos ^{-1}(4 / 5)
  3. Cπ/2\pi / 2
  4. Dsin⁡−1(3/4)\sin ^{-1}(3 / 4)

Correct answer

A. cos⁡−1(3/5)\cos ^{-1}(3 / 5)

Step-by-step solution

Here, triangle is If A=B+C have scalar magnitudes of 5,4,3 units respectively, then the angle between A and C is θ=cos⁡−1(∣C∣∣A∣)θ=cos⁡−1\theta=\cos ^{-1} \left(\frac{|\mathbf{C}|}{|\mathbf{A}|}\right)\theta=\cos ^{-1}\left(\frac{3}{5}\right)
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