Find the direction cosines of the normal to the plane 2x + 3y - z = 4.

Given :


Equation of plane : 2x + 3y – z = 4


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





Answer :


For the given equation of plane


2x + 3y – z = 4


Direction ratios of normal vector are (2, 3, -1)





Therefore, direction cosines are






1