# shortest distance

• Dec 19th 2007, 07:44 AM
akhayoon
shortest distance
what am I suppose to do with those three plane equations?
• Dec 19th 2007, 08:56 AM
topsquark
Quote:

Originally Posted by akhayoon
what am I suppose to do with those three plane equations?

What kind of geometric construction is the solution of the system of equations?

-Dan
• Dec 19th 2007, 08:58 AM
akhayoon
wow, I have no idea what you're talking about

but basically what I can do

is the minimum distance between

point and a plane
line and a plane
point and a line
line and a line

I've never encountered a point and three equations, I have no idea what to do...
• Dec 19th 2007, 09:22 AM
topsquark
Quote:

Originally Posted by akhayoon
wow, I have no idea what you're talking about

but basically what I can do

is the minimum distance between

point and a plane
line and a plane
point and a line
line and a line

I've never encountered a point and three equations, I have no idea what to do...

What I am suggesting you do is to solve this system of equations first:
$x - y + 3z = 1$

$-x + 3y - z = 3$

$y + z = 2$

This will result in the equation(s) for a kind of geometric figure (point, line, plane, etc. I'm not going to tell you which.) Then find the shortest distance from your point to this geometric figure.

-Dan
• Jan 4th 2008, 01:22 PM
yellow4321
http://www.fmnetwork.org.uk/centre/k...92f85a7a1d1fb4.

this website was golddust to me when i was given a week to learn vectors from pretty much scratch!
• Jan 4th 2008, 01:24 PM
yellow4321
http://www.fmnetwork.org.uk/centre/ken/
FP3%7CFP3revision%20vectors.doc?PHPSESSID=
82dba69ce7ffcdb44992f85a7a1d1fb4.

this website was golddust to me when i was given a week to learn vectors from pretty much scratch! copy and paste it