Question

Consider the point. (2, 4, 5) 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) = Draw a rectangular box with the origin and (2, 4, 5) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box.

Answer 1

Answer:

Step-by-step explanation:

Given is a point (2,4,5) in 3 dimension.

a) The projection of the point on xy plane would be with coordinate z=0 and same x,y coordinates

i.e. (2,4,0)

Similarly projection xz plane would be (2,0,5)

and projection on yz plane is (0,4,5)

If (2,4,5) is opposite vertex and faces are parallel to the coordinate planes

we would have the sides as xy plane yz plane and zx plane with extreme vertex as (2,4,5)

So all the 6 vertices would be

(0,0,0) (0,4,5) (2,0,5) (2,4,0) (0,4,0) (0,0,5) and (2,0,0),(2,4,0)