nt on the yz-plane? (x, y, z) = What is the forecast of the suggest on the xz-plane? (x, y, z) = Draw a rectangular box through the origin and (2, 4, 5) as oppowebsite vertices and via its deals with parallel to the coordinate planes. Label all vertices of the box.

You are watching: What is the projection of the point on the xy-plane

Step-by-action explanation:

Given is a allude (2,4,5) in 3 measurement.

a) The projection of the allude on xy plane would certainly be via coordinate z=0 and exact same x,y coordinates

i.e. (2,4,0)

Similarly projection xz aircraft would certainly be (2,0,5)

and also estimate on yz airplane is (0,4,5)

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

we would certainly have the sides as xy plane yz aircraft and zx plane through 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 also (2,0,0),(2,4,0)

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