Question

Find the coordinates of the point where the line through the points (3, -4, -5) and (2, -3, 1) crosses the determined by the points (1, 2, 3), (4, 2, -3) and (0, 4, 3).

Answer 1

Equation of line through (3,-4,-5) and (2,-3,1) is 

x-3/-1 = y+4/1 = z+5/6   ........(i)

Eqn. of plane through the three given points is