The length of the projection of the line segment joining the points(5,−1,4) and (4,−1,3) on the plane x+y+z=7 is

The length of the projection of the line segment joining the points

(5,1,4) and (4,1,3) on the plane x+y+z=7 is

  1. A

    2/3

  2. B

    23

  3. C

    2/3

  4. D

    1/3

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    Solution:

    The direction ratios of AB, where A(5,1,4)

    and B(4, -1, 3) are (1, 0, 1)  Let the angle between AB and plane is ϕ, which gives

    sin=26 is cos=13

    The projection of AB on the plane =AB cos

    =2.13=23

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