Q. 144.0( 3 Votes )
Show that the normal vector to the plane 2x + 2y + 2z = 3 is equally inclined with the coordinate axes.
Answer :
The vector equation of the plane 2x + 2y + 2z = 3 can be written as
The normal to this plane is 
Direction ratio of 
Direction cosine of 
Direction cosine of 
So, 
Let 
be the angle that normal 
makes with the coordinate axes respectively
Similarly,
Hence 
So the normal vector to the plane 2x + 2y + 2z = 3 is equally inclined with the coordinate axes.
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