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If the co-ordinates of the points A, B, ...

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 find the angle between the lines AB and CD

Text Solution

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The correct Answer is:
Direction ratios of AB are 4-1, 5-2, 7-3 i.e., 3, 3, 4 and the direction ratios of CD and 2+4, 9-3, 2+6 i.e., 6, 6, 8
Since 3/6 = 3/6 = 4/8, AB and CD are parallel `rArr` Angle between AB and CD = `0^@`
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Knowledge Check

  • The co- ordinates of the points P and Q are (2,6,4) and (8,-3 ,1) respectively. If the point R lies on the line segment PQ such that 2 | vec(PR) | = |vec(RQ) | then the co - ordinartes of R are

    A
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    B
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    C
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    D
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