Write the distance of the point (3, –2, 3) from XY, YZ and XZ planes.
From the given information, A is a point with co-ordinates (3,-2, 3).
If you consider the projection of A(3,-2,3) on the XY-plane is H(3,-2,0) where the z-coordinate will not exist on XY-plane.
Similarly projection of A(3,-2,3) on the YZ-plane is T(0,-2,3) where the x-coordinate will not exist on YZ-plane.
The projection of A(3,-2,3) on the XZ-plane is T(3,0,3) where the x-coordinate will not exist on XZ-plane.
Now, the distance between A and XY-plane = Distance between points A&H
Distance between two points is given by
Using this formula,
Distance of point A from XY
= √ 32
= 3
Distance of point A from YZ
= √ 32
= 3
Distance of point A from XZ
= √ 22
= 2