WOLFRAM|DEMONSTRATIONS PROJECT

Lines in 3D Space (Parametric, Vector, and Cartesian Forms)

​
form
parametric
vector
Cartesian
show line
You can vary the line: the boxesin the result are pull-down menus!
t
0
show grid
grid
xy
yz
zx
move grid
0
x
y
z
=
a
c
e
+
b
d
f
t =
1
2
1
+
1
-1
0
(0) =
1
2
1
This Demonstration shows the equation of a line in 3D in three different forms: parametric, vector, and Cartesian. You can vary the line—the boxes in the result are pull-down menus. You can also choose to show a grid, which you can move parallel to the
x
-
y
,
y
-
z
, or
z
-
x
plane. As you do this, the color of the line will change where it intersects the grid. By changing the value of the parameter
t
, you can locate a particular point on the line.