3D Vectors
Instructions
About
Object 1:
Point
A
(
5
,
3
,
9
)
{A \left( 5, 3, 9 \right)}
A
(
5
,
3
,
9
)
Object 2:
←
a
{\leftarrow \mathbf{a}}
←
a
d
→
{\mathbf{d} \rightarrow}
d
→
Line
l
:
r
=
a
+
λ
d
{l: \mathbf{r} = \mathbf{a} + \lambda \mathbf{d}}
l
:
r
=
a
+
λ
d
r
=
(
−
2
−
9
8
)
+
λ
(
−
2
5
3
)
{\mathbf{r} = \begin{pmatrix} - 2 \\ - 9 \\ 8 \end{pmatrix} + \lambda \begin{pmatrix} - 2 \\ 5 \\ 3 \end{pmatrix}}
r
=
⎝
⎛
−
2
−
9
8
⎠
⎞
+
λ
⎝
⎛
−
2
5
3
⎠
⎞
Error: direction vector cannot be the zero vector
Equation (of a plane)
Angle
Intersection
Distance (point to line)
Foot of perpendicular/Reflection (point to line)
Relationship (point and line)