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TS EAMCET · Physics · Laws of Motion

The angle between force \(\vec{F}=3 \hat{i}+4 \hat{j}-5 \hat{k}\) and displacement \(\vec{d}=5 \hat{i}+4 \hat{j}+3 \hat{k}\) is

  1. A \(\cos ^{-1}(0.16)\)
  2. B \(\cos ^{-1}(0.32)\)
  3. C \(\cos ^{-1}(0.24)\)
  4. D \(\cos ^{-1}(0.64)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\cos ^{-1}(0.32)\)

Step-by-step Solution

Detailed explanation

Angle between force and displacement, \(\cos \theta=\frac{\overrightarrow{\mathrm{F}} \cdot \overrightarrow{\mathrm{d}}}{|\mathrm{F}||\mathrm{d}|}\)…
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