Q. 215.0( 4 Votes )
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.
The equation of line passing through two given points can be given as-
Arbitrary Points on the line are : (2λ+3, -3λ+4, 5λ+1)
For specific value of λ, it crosses XY plane i.e., z = 0, whereas x & y has some specific values unlike that of z.
∴ 5λ + 1 = 0
⇒ λ = - 0.2
∴ Coordinate of the point at which it passes the XY plane is:
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