how one can write a nice vector parser, something that does pgfvecparse{A=B-C; D=E x F;}
I am often use coordinates of points to draw figure in geometry. I know that, we can add, minus coordinates of points, example
begin{tikzpicture}
tkzDefPoints{0/0/C',3/0/D',1/1/B'}
coordinate (A') at ($(B')+(D')-(C')$);
end{tikzpicture}
If I have two points A(1,2,3)
and B(4,5,6)
, how can I define vector AB
as (B)-(A)
?
tikz-pgf tikzmark
add a comment |
I am often use coordinates of points to draw figure in geometry. I know that, we can add, minus coordinates of points, example
begin{tikzpicture}
tkzDefPoints{0/0/C',3/0/D',1/1/B'}
coordinate (A') at ($(B')+(D')-(C')$);
end{tikzpicture}
If I have two points A(1,2,3)
and B(4,5,6)
, how can I define vector AB
as (B)-(A)
?
tikz-pgf tikzmark
add a comment |
I am often use coordinates of points to draw figure in geometry. I know that, we can add, minus coordinates of points, example
begin{tikzpicture}
tkzDefPoints{0/0/C',3/0/D',1/1/B'}
coordinate (A') at ($(B')+(D')-(C')$);
end{tikzpicture}
If I have two points A(1,2,3)
and B(4,5,6)
, how can I define vector AB
as (B)-(A)
?
tikz-pgf tikzmark
I am often use coordinates of points to draw figure in geometry. I know that, we can add, minus coordinates of points, example
begin{tikzpicture}
tkzDefPoints{0/0/C',3/0/D',1/1/B'}
coordinate (A') at ($(B')+(D')-(C')$);
end{tikzpicture}
If I have two points A(1,2,3)
and B(4,5,6)
, how can I define vector AB
as (B)-(A)
?
tikz-pgf tikzmark
tikz-pgf tikzmark
edited 1 hour ago
minhthien_2016
asked 1 hour ago
minhthien_2016minhthien_2016
1,4101917
1,4101917
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:
documentclass[margin=3.14159mm]{standalone}
usepackage{tikz,tikz-3dplot}
begin{document}
tdplotsetmaincoords{60}{125}
begin{tikzpicture}
[scale=0.9,
tdplot_main_coords,
axis/.style={-latex,thick},
vector/.style={-stealth,red,very thick},
vector guide/.style={dashed,thick}]
%standard tikz coordinate definition using x, y, z coords
% A(2,4,3), B(3,-1,4)
defAx{2}
defAy{4}
defAz{3}
defBx{-1}
defBy{3}
defBz{4}
coordinate (O) at (0,0,0);
coordinate (A) at (Ax,Ay,Az);
coordinate (B) at (Bx,By,Bz);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,5) node[anchor=south]{$z$};
%Dot at point
fill [blue] (A) circle (2pt);
fill [blue] (B) circle (2pt);
%draw a vector from O to A and O to B
draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};
%draw vector D=AB
draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
end{tikzpicture}
end{document}
Would you mind if I added a supplement to your answer?
– Steven B. Segletes
43 mins ago
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:
documentclass[margin=3.14159mm]{standalone}
usepackage{tikz,tikz-3dplot}
begin{document}
tdplotsetmaincoords{60}{125}
begin{tikzpicture}
[scale=0.9,
tdplot_main_coords,
axis/.style={-latex,thick},
vector/.style={-stealth,red,very thick},
vector guide/.style={dashed,thick}]
%standard tikz coordinate definition using x, y, z coords
% A(2,4,3), B(3,-1,4)
defAx{2}
defAy{4}
defAz{3}
defBx{-1}
defBy{3}
defBz{4}
coordinate (O) at (0,0,0);
coordinate (A) at (Ax,Ay,Az);
coordinate (B) at (Bx,By,Bz);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,5) node[anchor=south]{$z$};
%Dot at point
fill [blue] (A) circle (2pt);
fill [blue] (B) circle (2pt);
%draw a vector from O to A and O to B
draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};
%draw vector D=AB
draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
end{tikzpicture}
end{document}
Would you mind if I added a supplement to your answer?
– Steven B. Segletes
43 mins ago
add a comment |
If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:
documentclass[margin=3.14159mm]{standalone}
usepackage{tikz,tikz-3dplot}
begin{document}
tdplotsetmaincoords{60}{125}
begin{tikzpicture}
[scale=0.9,
tdplot_main_coords,
axis/.style={-latex,thick},
vector/.style={-stealth,red,very thick},
vector guide/.style={dashed,thick}]
%standard tikz coordinate definition using x, y, z coords
% A(2,4,3), B(3,-1,4)
defAx{2}
defAy{4}
defAz{3}
defBx{-1}
defBy{3}
defBz{4}
coordinate (O) at (0,0,0);
coordinate (A) at (Ax,Ay,Az);
coordinate (B) at (Bx,By,Bz);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,5) node[anchor=south]{$z$};
%Dot at point
fill [blue] (A) circle (2pt);
fill [blue] (B) circle (2pt);
%draw a vector from O to A and O to B
draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};
%draw vector D=AB
draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
end{tikzpicture}
end{document}
Would you mind if I added a supplement to your answer?
– Steven B. Segletes
43 mins ago
add a comment |
If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:
documentclass[margin=3.14159mm]{standalone}
usepackage{tikz,tikz-3dplot}
begin{document}
tdplotsetmaincoords{60}{125}
begin{tikzpicture}
[scale=0.9,
tdplot_main_coords,
axis/.style={-latex,thick},
vector/.style={-stealth,red,very thick},
vector guide/.style={dashed,thick}]
%standard tikz coordinate definition using x, y, z coords
% A(2,4,3), B(3,-1,4)
defAx{2}
defAy{4}
defAz{3}
defBx{-1}
defBy{3}
defBz{4}
coordinate (O) at (0,0,0);
coordinate (A) at (Ax,Ay,Az);
coordinate (B) at (Bx,By,Bz);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,5) node[anchor=south]{$z$};
%Dot at point
fill [blue] (A) circle (2pt);
fill [blue] (B) circle (2pt);
%draw a vector from O to A and O to B
draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};
%draw vector D=AB
draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
end{tikzpicture}
end{document}
If you use the coordinates only for drawing, simply define each components of points as variable and then define coordinate points using them. For example:
documentclass[margin=3.14159mm]{standalone}
usepackage{tikz,tikz-3dplot}
begin{document}
tdplotsetmaincoords{60}{125}
begin{tikzpicture}
[scale=0.9,
tdplot_main_coords,
axis/.style={-latex,thick},
vector/.style={-stealth,red,very thick},
vector guide/.style={dashed,thick}]
%standard tikz coordinate definition using x, y, z coords
% A(2,4,3), B(3,-1,4)
defAx{2}
defAy{4}
defAz{3}
defBx{-1}
defBy{3}
defBz{4}
coordinate (O) at (0,0,0);
coordinate (A) at (Ax,Ay,Az);
coordinate (B) at (Bx,By,Bz);
%draw axes
draw[axis] (0,0,0) -- (4,0,0) node[anchor=north east]{$x$};
draw[axis] (0,0,0) -- (0,4,0) node[anchor=north west]{$y$};
draw[axis] (0,0,0) -- (0,0,5) node[anchor=south]{$z$};
%Dot at point
fill [blue] (A) circle (2pt);
fill [blue] (B) circle (2pt);
%draw a vector from O to A and O to B
draw[vector guide] (O)node[left=1mm]{} -- (A)node[above=-1mm,right]{$P_1(Ax,Ay,Az)$};
draw[vector guide] (O) -- (B)node[above=-1mm,right]{$P_2(Bx,By,Bz)$};
%draw vector D=AB
draw[vector] (A) -- (B)node[midway,above,sloped]{$mathbf{D}$};
end{tikzpicture}
end{document}
answered 1 hour ago
ferahfezaferahfeza
7,18411933
7,18411933
Would you mind if I added a supplement to your answer?
– Steven B. Segletes
43 mins ago
add a comment |
Would you mind if I added a supplement to your answer?
– Steven B. Segletes
43 mins ago
Would you mind if I added a supplement to your answer?
– Steven B. Segletes
43 mins ago
Would you mind if I added a supplement to your answer?
– Steven B. Segletes
43 mins ago
add a comment |
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