If the co-ordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (-4, 3, -6) and (2, 9, 2) respectively, then the angle between the lines AB and CD is

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None of these

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Solution

The correct option is D
None of these

Here, d.r.'s of line AB and CD are 3, 3, 4 and 6, 6, 8 respectively.
$∴ θ = c o s^{- 1} [\frac{(3) (6) + (3) (6) + (4) (8)}{\sqrt{34} . \sqrt{136}}] = c o s^{- 1} [\frac{68}{2 \times 34}] = 0^{\circ}$

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