Question

Calculus: Find the distance from (3, 7, -5) to the xy-plane

Answer 1

Geometry: draw a pretty picture and go straight up in the z-direction from (3,7,-5) to (3,7,0) where you enter the xy-plane.

Answer 2

okay, that's what i thought. and for yz-plane, it would be the distance from (0, 7, -5), etc?

Answer 3

how is this calculus?
seems like just the 3D pythagrean will suffice

Answer 4

exactly. more interesting is to find distance to the plane 2x+3y+4z=1 or whatever

Answer 5

it's pretty much refresher stuff that i haven't learned in years

Answer 6

as here for xy -plan so for z- axis its value is " 0 ".

Answer 7

& now use distance formula for two point form.....

Answer 8

How about:
CALCULUS: Find the distance from (3, 7, -5) to the upside-down paraboloid given by \[z = -\frac{1}{12}(x^2+y^2)\]