# Analytical Geometry – Calculate a plain equation with 2 points and a parallel line – Exercise 3623

Exercise

Calculate the equation of the plain passing through the points

$$A(1,2,-1),B(-5,2,7)$$

And parallel to the vector

$$\vec{a}=2\vec{1}-\vec{j}-\vec{k}$$

$$4x+5y+3z=11$$