Question

Consider the point.

(4, 5, 6)
What is the projection of the point on the xy-plane?
(x, y, z) =__________.

What is the projection of the point on the yz-plane?
(x, y, z) =________

What is the projection of the point on the xz-plane?
(x, y, z) =___________

Answer 1

`(4,5,0)`

`(0,5,6)`

`(4,0,6)`

Explanation:

The projection of the point on the plane can be determined as:

xy-plane, z=0.

`(x,y,z)=(x,y,0)=(4,5,0)`

yz-plane, x=0.

`(x,y,z)=(0,y,z)=(0,5,6)`

xz-plane, y=0.

`(x,y,z)=(x,0,z)=(4,0,6)`