## anonymous 3 years ago What is the shortest distance from the point (x,y,z) to (a) the xy-plane (b) the x-axis? Could someone please explain this one, maybe with a (x,y,z) graph if possible?

1. anonymous

|dw:1359041022174:dw|

2. anonymous

That's what I think of (a), shouldn't that be somewhat correct? Just get rid of the z and you're on the xy-plane

3. anonymous

$\Huge \color{blue}\checkmark$

4. anonymous

|dw:1359041443154:dw|

5. anonymous

Shouldn't that be the shortest lenght to x?

6. anonymous

|dw:1359041552842:dw|use pythagorean theorem

7. anonymous

$\sqrt{y ^{2}+z ^{2}}$

8. anonymous

right again.

9. anonymous

Great, having some trouble imagining three dimentions but seems like I'm starting to grasp it

10. anonymous

Thank you for the help!

11. anonymous

yw