3D Plane and Normal Vector

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
\documentclass[border=3pt]{standalone}
%Drawing
\usepackage{tikz}
%Tikz Library
\usetikzlibrary{calc}
%Notation
\usepackage{physics}
\begin{document}
% All numbers must be in [0,1] to fall in the plane drawn
\def\t{0.9}
\def\s{0.04}
\def\tt{0.3}
\def\ss{0.7}
\def\ttt{0.5}
\def\sss{0.5}
    
\begin{tikzpicture}[x={(1cm,0.4cm)}, y={(8mm, -3mm)}, z={(0cm,1cm)}, line cap=round, line join=round]
    %Coordinates
    %Plane Vertex Points
    \coordinate (x1) at (-2,2,3);
    \coordinate (x2) at (2,2,5);
    \coordinate (x3) at (2,-2,5);
    \coordinate (x4) at (-2,-2,3);
    %Vectors Parallel to Plane
    \coordinate (n1) at ($(x2) - (x1)$);
    \coordinate (n2) at ($(x2) - (x3)$); 
    %Points on Plane
    \coordinate (x5) at ($(x1) + \s*(n1) - \t*(n2)$);
    \node[outer sep = 1pt, inner sep = 1pt] (x6) at ($(x1) + \ss*(n1) - \tt*(n2)$) {};
    \coordinate (x7) at ($(x1) + \sss*(n1) - \ttt*(n2)$);
    %Beginning of Axis
    \coordinate (O) at (0,0,0);
    %Random Point
    \node[outer sep = 1pt, inner sep = 1pt] (P) at (2.5,1,5.5) {};
    
    %Axis   
 
 
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX