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