If F =2 +3 -4 k and 5 =-2 i +8 j - k , then find angle between force and displacement.

Physics · NEET · NTA ExamsBASIC MATHEMATICS AND VECTOR

If \(\vec{F}=2 \hat{\imath}+3 \hat{\jmath}-4 \hat{k}\) and \(\overrightarrow{5}=-2 \hat{i}+8 \hat{j}-\hat{k}\), then find angle between force and displacement.
  1. \(\cos ^{-1}\left(\frac{12}{\sqrt{13} \sqrt{65}}\right)\)
  2. \(\cos ^{-1}\left(\frac{24}{\sqrt{29} \sqrt{65}}\right)\)
  3. \(\cos ^{-1}\left(\frac{12}{\sqrt{21} \sqrt{65}}\right)\)
  4. \(\cos ^{-1}\left(\frac{24}{\sqrt{29} \sqrt{69}}\right)\)

Answer

(B) ^ -1 ( 24 29 65 )

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