question_answer 45)

Find the coordinates of the point where the line through (3, –4, –5) and (2, –3, 1) crosses the plane 2x + y + z = 7 

Answer:

Equation of line through points (3, ?4, ?5) and (2, ?3, 1) is given by                                        ?.(1)                                coordinates of any point on equation (1) is P(3,       If P is the intersecting point of the line and plane then it must lie on the plane             2x + y + z = 7                            required point is P(3, ?2, 2 ? 4, 12 ? 5)       i.e., P (1, ?2, 7)