1.1. Points
Points in 2D and 3D space
Point 2D
Points in 2D space have only two coordinates which are either called [x,y], [y,z], [x,z], depending on which projection plane we’re moving:
$$\dot{P} = \begin{bmatrix}
x \\
y
\end{bmatrix}$$
$$\dot{P} = \begin{bmatrix}
2 \\
3
\end{bmatrix}$$
Point 3D
Points in 3D have three coordinates, usually referred to as [x,y,z]:
$$\dot{P} = \begin{bmatrix}
x \\
y \\
z
\end{bmatrix}$$
$$\dot{P} = \begin{bmatrix}
2 \\
3 \\
3
\end{bmatrix}$$
