Art of Problem Solving

User:5849206328x: Difference between revisions

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import three; import graph3;
import three; import graph3;
currentprojection=orthographic(4,-4,1);
currentprojection=orthographic(4,-4,1);
size(216);
size(288);


xaxis3("$A$",0,3);
//xaxis3("$A$",0,3);
yaxis3("$A'$",0,3);
//yaxis3("$A'$",0,3);
zaxis3("$\hat{\mathbf{n}}$",-1,2);
zaxis3("$\hat{\mathbf{n}}$",0,1);


draw((3,0,0)--(0,0,-1)--(0,3,0)--(2,0,0));
draw((3,0,0)--(0,4,0)--(-3,0,0)--(0,-4,0)--cycle); draw((1,0,1)--(0,0,0)--(1,0,-1)); draw((0,0,0)--(1,0,0)); draw((1,0,1)--(1,0,-1),dashed);


label("$O$",(0,0,-1),W); label("$B$",(0,0,0),W); label("$C$",(2,0,0),SW);
label("$\mathbf{x}$",(1,0,1),E); label("$\mathbf{x}'$",(1,0,-1),E);
</asy>
</asy>

Revision as of 17:38, 31 August 2015

[asy] size(216);  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;  //xaxis(-1,5); //yaxis(-1,5);  //real f(real x) { return abs(x); }  draw((2,3)--(0,0)--(4,0),Arrows); draw((0,0)--(2,0),EndArrow); draw((2,0)--(2,3),dashed); draw(rightanglemark((4,0),(2,0),(2,3),4));  label("$\mathbf{a}$",(4,0),E); label("$\mathbf{b}$",(2,3),NE); label("$\mathbf{b}_{\parallel}$",(2,0),S); label("$\theta$",(0.3,0.1),NE);  //limits((-1,-4),(6,6),Crop); [/asy]

[asy] import three; import graph3; currentprojection=orthographic(4,-4,1); size(288);  //xaxis3("$A$",0,3); //yaxis3("$A'$",0,3); zaxis3("$\hat{\mathbf{n}}$",0,1);  draw((3,0,0)--(0,4,0)--(-3,0,0)--(0,-4,0)--cycle); draw((1,0,1)--(0,0,0)--(1,0,-1)); draw((0,0,0)--(1,0,0)); draw((1,0,1)--(1,0,-1),dashed);  label("$\mathbf{x}$",(1,0,1),E); label("$\mathbf{x}'$",(1,0,-1),E); [/asy]