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Find the co-ordinates of the point where the line through (5,1,6) and (3,4,1) crosses the ZX plane

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Answer :From the example 10, the co-ordinates of any point on the LINE joining (5,1,6) and (3,4,1) may be ASSUMED as `(5-2lambda, 1+3lambda, 6-5lambda)` for some `LAMBDA`. If this point lies on ZX-plane, its y-coordinate = 0, `1+3lambda=0 rArr = (-1)/3`
Hence, the required point = `(5+2/3, 0, 6+5/3) = ((1)/3, 0 (23)/3)


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