question_answer 44)

Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the zx-plane. 

Answer:

Equation of line through points (5, 1, 6) and (3, 4, 1) is given by             i.e.       It crosses the zx-plane at the point where y = 0       So put y = 0 in equation (1)             Taking first and second, we get             Taking second and third, we get                    required point is