WBJEE · Physics · Mathematics in Physics
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
- A \(\cos ^{-1}(3 / 5)\)
- B \(\cos ^{-1}(4 / 5)\)
- C \(\pi / 2\)
- D \(\sin ^{-1}(3 / 4)\)
Answer & Solution
Correct Answer
(A) \(\cos ^{-1}(3 / 5)\)
Step-by-step Solution
Detailed explanation
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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