# Analytical Geometry – Calculate a point of intersection between a line and a plain – Exercise 5508

Exercise

Calculate the point of intersection between the line passing through the points

$$A(1,3,0),B(0,1,3)$$

To the plain passing through the points

$$P(2,0,4),Q(1,1,1),F(0,0,6)$$

$$(-\frac{1}{6},\frac{2}{3},\frac{7}{2})$$