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Question

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


A


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B


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C


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D

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=cos1[(3)(6)+(3)(6)+(4)(8)34.136]=cos1[682×34]=0


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