18 Find the distance of the point (– 1, – 5, – 10) from the point of intersection of the line and the plane .
Equation of a line :
Equation of the plane
Let's first find out the point of intersection of line and plane.
putting the value of into the equation of a plane from the equation from line
Now, from the equation, any point p in line is
So the point of intersection is
The distance between the points (-1,-5,-10) and (2,-1,2) is
Hence the required distance is 13.