Question

is there any equation represent a line in 3-dimension?

Answer 1

not sure, but parametrics?

Answer 2

Only parametric...
\[\frac{x-x_1}{a}=\frac{y-y_1}{b}=\frac{z-z_1}{c}=t\]

Answer 3

ok, thanks

Answer 4

aww, no medal for me. oh well. but parametrics are a form of another equation. might wanna look that up.

Answer 5

i want to if possible but the medal system has been limited to for 1 person only.

Answer 6

x=x0+at
y=y0+bt
z=z0+ct
where t is a parameter

What is the parameter mean?

Answer 7

i dunno. try wolframalpha.com

Answer 8

or use purplemath or calculushelp.com

Answer 9

u good?

Answer 10

still learning :), thanks for the links

Answer 11

ok bye! goood luck eh.

Answer 12

Yes, it can only be done parametrically. If you write something such as \(z=f(x,y)\), you're going to get a surface...no way to get a line out of that.

Answer 13

Like what about Vectors:
{x,y,z]=[X0,y0,z0)+k(n1,m2,m3}

Answer 14

not totally sure tho. i failed that class

Answer 15

That's exactly right... that's an example of a parametrization with respect to \(k\). If you go component-by-component and solve for \(k\), you will get the suggestion above.

Answer 16

heh...didnt actuall understand that.

Answer 17

Simple answer: You are correct. ;-)

Answer 18

Wonderful!