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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