Find the direction cosines of the normal to the plane 3x – 6y + 2z = 7.

Given :


Equation of plane : 3x – 6y + 2z = 7


To Find : Direction cosines of the normal, i.e.


Formula :


1) Direction cosines :


If a, b & c are direction ratios of the vector, then its direction cosines are given by





For the given equation of a plane


3x – 6y + 2z = 7


Direction ratios of normal vector are (3, -6, 2)






Therefore, direction cosines are






1