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The angle between the lines vectors r = (3i + j - 2k) + λ(i - j - 2k) and r = (2i - j - 5k) + μ(3i -5j - 4k) is

A. cos-1\(\left(\cfrac{8\sqrt3}{15}\right)\)

B. cos-1 \(\left(\cfrac{6\sqrt2}{5}\right)\)

C. cos-1 \(\left(\cfrac{5\sqrt3}{8}\right)\)

D.  cos-1 \(\left(\cfrac{5\sqrt2}{6}\right)\)

1 Answer

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Best answer

Correct option is A. cos-1\(\left(\cfrac{8\sqrt3}{15}\right)\)
Let \(\vec a=\hat i-\hat j-2\hat k\) and \(\vec b=3\hat i-5\hat j-4\hat k\) and \(|\vec a|=\sqrt{1 + 1 + 2^2}=\sqrt6\)

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