how one can write a nice vector parser, something that does pgfvecparse{A=B-C; D=E x F;}












2















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







share|improve this question

























  • Among the existing proposals, to my knowledge this one might be the most promising one. The open problem, though, is that the transformation is to "recorded". Some advanced transformation recording can be found here. But it seems that you are looking for something else.

    – marmot
    55 mins ago
















2















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







share|improve this question

























  • Among the existing proposals, to my knowledge this one might be the most promising one. The open problem, though, is that the transformation is to "recorded". Some advanced transformation recording can be found here. But it seems that you are looking for something else.

    – marmot
    55 mins ago














2












2








2








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







share|improve this question
















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






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 2 hours ago







minhthien_2016

















asked 3 hours ago









minhthien_2016minhthien_2016

1,4101917




1,4101917













  • Among the existing proposals, to my knowledge this one might be the most promising one. The open problem, though, is that the transformation is to "recorded". Some advanced transformation recording can be found here. But it seems that you are looking for something else.

    – marmot
    55 mins ago



















  • Among the existing proposals, to my knowledge this one might be the most promising one. The open problem, though, is that the transformation is to "recorded". Some advanced transformation recording can be found here. But it seems that you are looking for something else.

    – marmot
    55 mins ago

















Among the existing proposals, to my knowledge this one might be the most promising one. The open problem, though, is that the transformation is to "recorded". Some advanced transformation recording can be found here. But it seems that you are looking for something else.

– marmot
55 mins ago





Among the existing proposals, to my knowledge this one might be the most promising one. The open problem, though, is that the transformation is to "recorded". Some advanced transformation recording can be found here. But it seems that you are looking for something else.

– marmot
55 mins ago










1 Answer
1






active

oldest

votes


















2














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}


enter image description here






share|improve this answer
























  • Would you mind if I added a supplement to your answer?

    – Steven B. Segletes
    1 hour ago












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1 Answer
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active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









2














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}


enter image description here






share|improve this answer
























  • Would you mind if I added a supplement to your answer?

    – Steven B. Segletes
    1 hour ago
















2














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}


enter image description here






share|improve this answer
























  • Would you mind if I added a supplement to your answer?

    – Steven B. Segletes
    1 hour ago














2












2








2







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}


enter image description here






share|improve this answer













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}


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered 2 hours ago









ferahfezaferahfeza

7,19411933




7,19411933













  • Would you mind if I added a supplement to your answer?

    – Steven B. Segletes
    1 hour ago



















  • Would you mind if I added a supplement to your answer?

    – Steven B. Segletes
    1 hour ago

















Would you mind if I added a supplement to your answer?

– Steven B. Segletes
1 hour ago





Would you mind if I added a supplement to your answer?

– Steven B. Segletes
1 hour ago


















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