Find the vector equation of the line of intersection of the 3 planes represented by this system of equations.
2x - 7y + 5z = 1
6x + 3y - z = -1
-14x - 23y + 13z = 5
Thank you very much!
Set z = t. Then you have the parametric equation of the intersection line:
That means the vector equation of the line is:
The first vector is the stationary vector of a point which is located in all three planes and the second vector is the direction vector of the line.