InterviewSolution
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InterviewSolution
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Find the coordinates of the point where the line through the points A (3, 4, 1) and B(5, 1, 6) crosses the XY-plane. |
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Answer» Here, we are given points `A(3,4,1)` and `B(5,1,6)`. So, direction ratio of line `AB = (2,-3,5)`. So, equation of line becomes, `(x-3)/2 = (y-4)/-3 = (z-1)/5 = k` `=>(z-1)/5 = k` As the line is crossing XY-plane, z-coordinate will be `0`.So, `(0-1)/5 = k => k = -1/5` `:. (x-3)/2 = -1/5 => x = 3-2/5 = 13/5` `(y-4)/-3 = -1/5 => y = 4+3/5 = 23/5` So, the required coordinates will be `(13/5,23/5,0)`. |
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