Three Dimensional Distance

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NaN-Gram

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I had a couple of questions for finding distance in a three dimensional space.

I want to find the distance from a point from the x-y-z axes, and also the planes.

Find the distance from the point (6,8,5)

From the yz, xy, zx, and zy planes.

Also, finding the distances from the point (2,0,3) from the three distinct axes (x,y,z) respectively.
 
You post makes no sense to me, sorry. You keep saying that you want to find the distance from a point. You find the distance between two points.

Your last question makes sense but I wonder if you meant what you wrote. The distance from (2,0,3) and the x axis is 2, from the y axis is 0 and from the z axis is 3.
 
Jomo said:
You post makes no sense to me, sorry. You keep saying that you want to find the distance from a point. You find the distance between two points.

Your last question makes sense but I wonder if you meant what you wrote. The distance from (2,0,3) and the x axis is 2, from the y axis is 0 and from the z axis is 3.
Click to expand...
I think he (or she) meant to find the shortest distance to a plane. See for example, Here. But maybe I am wrong.
 
NaN-Gram said:
I had a couple of questions for finding distance in a three dimensional space.

I want to find the distance from a point from the x-y-z axes, and also the planes.

Find the distance from the point (6,8,5)

From the yz, xy, zx, and zy planes.

Also, finding the distances from the point (2,0,3) from the three distinct axes (x,y,z) respectively.
Click to expand...
The distance from (6,8,5) to the xy plane is (the absolute value of) its z coordinate. Do you see why?

To find the distance from (6,8,5) to the x axis, think about where the nearest point will be on the x axis. Do you see why it will be (6,0,0)? What is the distance between those points?
 
Dr.Peterson said:
The distance from (6,8,5) to the xy plane is (the absolute value of) its z coordinate. Do you see why?

To find the distance from (6,8,5) to the x axis, think about where the nearest point will be on the x axis. Do you see why it will be (6,0,0)? What is the distance between those points?
Click to expand...

I think I understand now, thank you Dr. Peterson.
 
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