The points are
,
and
.
Find which point is closest to the
-plane.
The
-plane is the plane that contains the
- and
-axes.
The
-plane is the plane that contains the
- and
-axes.
The
-plane is the plane that contains the
- and
-axes.
The distance formula for three dimension is
.
In
- plane
,
and
.


.
The distance from
- plane is
from any point.
For
,
.
For
,
.
For
,
.
The smallest distance from
- plane is
.
The point
is the closest to the
- plane.
Which point lies in the
- plane.
The
-plane is the plane that contains the
- and
-axes and
- axis is zero.
Observe the points:
\In point
, the
- axis is zero.
Therefore, the pont
lies in the
- plane.
lies in the
- plane.
The point
is the closest to the
- plane.
lies in the
- plane.