Question:medium

The direction ratios of a straight line \(L_1\) are 2,-1,2 and that of another straight line \(L_2\) are 3,6,-2. Then the angle between \(L_1\) and \(L_2\) is

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If you need to find whether lines are perpendicular, just check if the numerator \(a_1 a_2 + b_1 b_2 + c_1 c_2\) is zero. This can save you from calculating square roots in many cases.
Updated On: Jun 24, 2026
  • \(\cos^{-1}\left(\frac{-4}{21}\right)\)
  • \(\cos^{-1}\left(\frac{8}{21}\right)\)
  • \(\cos^{-1}\left(\frac{5}{21}\right)\)
  • \(\cos^{-1}\left(\frac{-4}{7}\right)\)
  • \(\cos^{-1}\left(\frac{10}{21}\right)\)
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The Correct Option is A

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