Find the vector equation of the plane that contains the lines and the point (-1, 3, -4). Also find the length of the perpendicular drawn from the point (2, 1, 4) to the plane, thus obtained.
Given: Equation of the given line
The plane passing through the point (-1, 3, -4)
Then the equation of the plane is,
(1,1) lies on the plane,
Also, (1,2, -1) lies on the plane
Solving (ii) and (iii), we get
Putting the values of a, b and c in (i) we get
Vector Equation of plane is
Perpendicular distance