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If the coordinates of the points A, B, ...

If the coordinates 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

AI Generated Solution

To find the angle between the lines AB and CD given the coordinates of points A, B, C, and D, we will follow these steps: ### Step 1: Identify the coordinates of points A, B, C, and D. - A = (1, 2, 3) - B = (4, 5, 7) - C = (4, 3, 6) - D = (2, 9, 2) ...
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Knowledge Check

  • The coordinates of the points A, B, C, D are (2, a), (3,5), (3,4) and (0, 6) respectively. If the lines AC and BD be perpendicular, then a = ?

    A
    7
    B
    1
    C
    -1
    D
    -7

  • Coordinates of the points A, B, C,D are (13,7), (-5,2), (7,3) and (3,7) respectively. Let AB and CD meet at P, then PA:PB is equal to

    A
    `6:7`
    B
    `6:7`
    C
    `7:6`
    D
    None of these

  • The lines joining the points (1, 2, 3), (4, 5, 7) and (-4,3,-6), (2, 9, 2) are

    A
    coincident
    B
    parallel
    C
    intersecting
    D
    None of these

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    If the coordinates of the points A,B,C,D are (1,2,3),(4,5,7),(-4,3,-6) and 2,9,2,2, then find the angle between AB and CD.

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    If A,B,C,D are (2,3,-1),(3,5,-3),(1,2,3),(3,5,7) respectively, then the angel between AB and CD, is

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