Show that the line is parallel to the plane
Given :
Equation of plane : :
Equation of a line :
To Prove : Given line is parallel to the given plane.
Comparing given plane i.e.
with , we get,
This is the vector perpendicular to the given plane.
Now, comparing the given the equation of line i.e.
with , we get,
Now,
= 1 – 5 + 4
= 0
Therefore, a vector normal to the plane is perpendicular to the vector parallel to the line.
Hence, the given line is parallel to the given plane.