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Question: Answered & Verified by Expert
If $\mathbf{A}=\mathbf{B}+\mathbf{C}$ have scalar magnitudes of 5,4,3 units respectively, then the angle between $A$ and $\mathbf{C}$ is
PhysicsMathematics in PhysicsJEE Main
Options:
  • A $\cos ^{-1}(3 / 5)$
  • B $\cos ^{-1}(4 / 5)$
  • C $\pi / 2$
  • D $\sin ^{-1}(3 / 4)$
Solution:
1915 Upvotes Verified Answer
The correct answer is: $\cos ^{-1}(3 / 5)$
Here, triangle is


$\theta=\cos ^{-1}\left(\frac{|\mathbf{C}|}{|\mathbf{A}|}\right)$
$\theta=\cos ^{-1}\left(\frac{3}{5}\right)$

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