Thread: Distance of plane to origin

1. Distance of plane to origin

Hi,

I am trying to determine the distance of the plane 5x+2y+z=10 from the origin? Thank you.

Hi,

I am trying to determine the distance of the plane 5x+2y+z=10 from the origin? Thank you.
there are two methods:
either use the direct formula
I will tell you the second method.

Imagine a point P on the plane.
Join O and P.
Find the drs of OP.
For OP to be the shortest distance botween two planes, OP should have the drs that the normal to the plane has.

Try it.
If you get stuck anywhere in between, I will you the solution.

Keep Smiling
Malay

Hi,

I am trying to determine the distance of the plane 5x+2y+z=10 from the origin? Thank you.
The standard equation of the plane is,
$\displaystyle 5x+2y+z-10=0$
So the distance formula says, distance from origin is,
$\displaystyle \frac{|5(0)+2(y)+(0)-10|}{\sqrt{5^2+2^2+1^2}}$