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.