Q 1461580425.     Find the angle between the following lines. `frac{x-1}{2}= frac{y+1}{3}= frac{z-4}{6}` and `x+1= frac{y+2}{2}= frac{z-4}{2}`

A

`cos^{-1} frac{20}{21}`

B

`sin^{-1} frac{20}{21}`

C

`tan^{-1} frac{20}{21}`

D

`cot^{-1} frac{20}{21}`

HINT

`(a_1, b_1, c_1) = (2, 3, 6), (a_2, b_2, c_2 ) = (1, 2, 2)` The angle between them `= cos^{-1} [ frac{a_1a_2+b_1b_2+c_1c_2}{ sqrt{a_1^2+b_1^2+c_1^2} sqrt{a_2^2+b_2^2+c_2^2}} ]`

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