1.

Find the coordinates of the point where the line passing through the points (3, 4, 1) and (5, 1, 6) cuts the y - z plane.

Answer»

y - z plan is x = 0 ...(i)

the eqn. of the line through the point (5, 1, 6) and (3, 4, 1) is (x - 5)/(3 - 5) = (y - 1)/(4 - 1) = (z - 6)/(1 - 6)

(x - 5)/-2 = (y - 1)/3 = (z - 6)/-5 ...(ii)

Any point an through line is(5 - 2h,1 + 3h,6 - h)

Thus f = 8/2

The required point of intersection of plane (i) and two line (ii) is

(0,17/2,-13/2)



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