Mark against the correct answer in each of the following:
The direction cosines of the perpendicular from the origin to the plane
are
Given: Equation of plane is ![]()
Formula Used: Equation of a plane is
where
is the unit vector normal to the plane,
represents a point on the plane and
is the distance of the plane from the origin.
Explanation:
The equation of the given plane is
… (1)
Now, ![]()
= 7
is a unit vector.
(1) can be rewritten as
![]()
![]()
which is of the form ![]()
Perpendicular vector from the origin to the plane is
![]()
So, direction cosines of the vector perpendicular from the origin to the plane is ![]()