Homework 1 By Russell Blyth restart: with(LinearAlgebra): with(plots): with(plottools):with(geom3d):

Warning, the name changecoords has been redefined

Warning, the assigned name arrow now has a global binding

Warning, these names have been rebound: dodecahedron, hexahedron, homothety, icosahedron, line, octahedron, parallelepiped, point, reflect, rotate, sphere, stellate, tetrahedron, transform, translate

Warning, the assigned name polar now has a global binding

Define three planes to work with. eq10 := 2*x + 3*y + z = 2; eq11 := 2*x + 4*y + 7*z =6; eq12 := 3*x + 10*y + 5*z = 7; solve({eq10,eq11,eq12});

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

Graph two planes. display({ plot3d(solve(eq10,z),x=-5..5, y=-5..5, color=red), plot3d(solve(eq11,z),x=-5..5, y=-5..5, color=blue)}, view=-5..5, axes=boxed);

6'-I%GRIDG6$%*protectedGI(_syslibG6"6&;$!"&""!$""&F-F*X,F(F(I)anythingGF&[gl'!%"!!#\bm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gl'!%"!!#\bm":":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&F5F9F9F6-I*AXESSTYLEGF%6#I$BOXGF%-I+AXESLABELSGF%6&I"xGF(I"yGF(Q!F(-I%FONTGF(6#I(DEFAULTGF%-I%VIEWGF%6%FLFLF*

Now we want to display the line of intersection in a heavy line. First find a solution for the intersection. Use commands from the geometry package. plane(pl1,eq10,[x,y,z]): plane(pl2,eq11,[x,y,z]): intersection(ln1,pl1,pl2);

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

Extract the equation of the line. LineEq := Equation(ln1,t);

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

The tricky part is determining values for the parameter t that will plot the part of the line that corresponds exactly to the parts of the planes that are displayed. The following code does that. xt1:=solve(LineEq[1]=-5,t); xt2:=solve(LineEq[1]=5,t); yt1:=solve(LineEq[2]=-5,t); yt2:=solve(LineEq[2]=5,t);

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

xtm := min(xt1,xt2); xtM := max(xt1,xt2); ytm := min(yt1,yt2); ytM := max(yt1,yt2); tm := max(xtm,ytm); tM := min(xtM,ytM);

NiQtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YoNiUtSSNtaUdGJTY5USR4dG1GKC8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYoLyUlc2l6ZUdRIzEyRigvJSVib2xkR1EmZmFsc2VGKC8lJ2l0YWxpY0dRJXRydWVGKC8lKnVuZGVybGluZUdGOC8lKnN1YnNjcmlwdEdGOC8lLHN1cGVyc2NyaXB0R0Y4LyUrZm9yZWdyb3VuZEdRKlswLDAsMjU1XUYoLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GKC8lJ29wYXF1ZUdGOC8lK2V4ZWN1dGFibGVHRjgvJSlyZWFkb25seUdGOy8lKWNvbXBvc2VkR0Y4LyUqY29udmVydGVkR0Y4LyUraW1zZWxlY3RlZEdGOC8lLHBsYWNlaG9sZGVyR0Y4LyUwZm9udF9zdHlsZV9uYW1lR1EqMkR+T3V0cHV0RigvJSptYXRoY29sb3JHRkQvJS9tYXRoYmFja2dyb3VuZEdGRy8lK2ZvbnRmYW1pbHlHRjIvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YoLyUpbWF0aHNpemVHRjUtSSNtb0dGJTYzUSM6PUYoLyUlZm9ybUdRJmluZml4RigvJSZmZW5jZUdGOC8lKnNlcGFyYXRvckdGOC8lJ2xzcGFjZUdRL3RoaWNrbWF0aHNwYWNlRigvJSdyc3BhY2VHRltwLyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShtYXhzaXplR1EpaW5maW5pdHlGKC8lKG1pbnNpemVHUSIxRigvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lMGZvbnRfc3R5bGVfbmFtZUdGWC8lJXNpemVHRjUvJStmb3JlZ3JvdW5kR0ZELyUrYmFja2dyb3VuZEdGRy1JI21uR0YlNjlRIjBGKEYwRjNGNi9GOkY4RjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbi9Gam5RJ25vcm1hbEYoRlxvNyMtX0YpSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSR4dG1HRigiIiE3I0Zlcg==

NiQtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YoNiUtSSNtaUdGJTY5USR4dE1GKC8lJ2ZhbWlseUdRMFRpbWVzfk5ld35Sb21hbkYoLyUlc2l6ZUdRIzEyRigvJSVib2xkR1EmZmFsc2VGKC8lJ2l0YWxpY0dRJXRydWVGKC8lKnVuZGVybGluZUdGOC8lKnN1YnNjcmlwdEdGOC8lLHN1cGVyc2NyaXB0R0Y4LyUrZm9yZWdyb3VuZEdRKlswLDAsMjU1XUYoLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GKC8lJ29wYXF1ZUdGOC8lK2V4ZWN1dGFibGVHRjgvJSlyZWFkb25seUdGOy8lKWNvbXBvc2VkR0Y4LyUqY29udmVydGVkR0Y4LyUraW1zZWxlY3RlZEdGOC8lLHBsYWNlaG9sZGVyR0Y4LyUwZm9udF9zdHlsZV9uYW1lR1EqMkR+T3V0cHV0RigvJSptYXRoY29sb3JHRkQvJS9tYXRoYmFja2dyb3VuZEdGRy8lK2ZvbnRmYW1pbHlHRjIvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YoLyUpbWF0aHNpemVHRjUtSSNtb0dGJTYzUSM6PUYoLyUlZm9ybUdRJmluZml4RigvJSZmZW5jZUdGOC8lKnNlcGFyYXRvckdGOC8lJ2xzcGFjZUdRL3RoaWNrbWF0aHNwYWNlRigvJSdyc3BhY2VHRltwLyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShtYXhzaXplR1EpaW5maW5pdHlGKC8lKG1pbnNpemVHUSIxRigvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lMGZvbnRfc3R5bGVfbmFtZUdGWC8lJXNpemVHRjUvJStmb3JlZ3JvdW5kR0ZELyUrYmFja2dyb3VuZEdGRy1JJm1mcmFjR0YlNiotSSNtbkdGJTY5USMxMEYoRjBGM0Y2L0Y6RjhGPEY+RkBGQkZFRkhGSkZMRk5GUEZSRlRGVkZZRmVuRmduL0ZqblEnbm9ybWFsRihGXG8tRmpxNjlRIzE3RihGMEYzRjZGXXJGPEY+RkBGQkZFRkhGSkZMRk5GUEZSRlRGVkZZRmVuRmduRl5yRlxvLyUubGluZXRoaWNrbmVzc0dRIjFGKC8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGKC8lKW51bWFsaWduR0Zoci8lKWJldmVsbGVkR0Y4RmJxRmRxNyMtX0YpSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSR4dE1HRigjIiM1IiM8NyNGZXM=

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

NiQtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YoNiUtSSNtaUdGJTY5USN0TUYoLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRigvJSVzaXplR1EjMTJGKC8lJWJvbGRHUSZmYWxzZUYoLyUnaXRhbGljR1EldHJ1ZUYoLyUqdW5kZXJsaW5lR0Y4LyUqc3Vic2NyaXB0R0Y4LyUsc3VwZXJzY3JpcHRHRjgvJStmb3JlZ3JvdW5kR1EqWzAsMCwyNTVdRigvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYoLyUnb3BhcXVlR0Y4LyUrZXhlY3V0YWJsZUdGOC8lKXJlYWRvbmx5R0Y7LyUpY29tcG9zZWRHRjgvJSpjb252ZXJ0ZWRHRjgvJStpbXNlbGVjdGVkR0Y4LyUscGxhY2Vob2xkZXJHRjgvJTBmb250X3N0eWxlX25hbWVHUSoyRH5PdXRwdXRGKC8lKm1hdGhjb2xvckdGRC8lL21hdGhiYWNrZ3JvdW5kR0ZHLyUrZm9udGZhbWlseUdGMi8lLG1hdGh2YXJpYW50R1EnaXRhbGljRigvJSltYXRoc2l6ZUdGNS1JI21vR0YlNjNRIzo9RigvJSVmb3JtR1EmaW5maXhGKC8lJmZlbmNlR0Y4LyUqc2VwYXJhdG9yR0Y4LyUnbHNwYWNlR1EvdGhpY2ttYXRoc3BhY2VGKC8lJ3JzcGFjZUdGW3AvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKG1heHNpemVHUSlpbmZpbml0eUYoLyUobWluc2l6ZUdRIjFGKC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUwZm9udF9zdHlsZV9uYW1lR0ZYLyUlc2l6ZUdGNS8lK2ZvcmVncm91bmRHRkQvJStiYWNrZ3JvdW5kR0ZHLUkmbWZyYWNHRiU2Ki1JI21uR0YlNjlRIzEwRihGMEYzRjYvRjpGOEY8Rj5GQEZCRkVGSEZKRkxGTkZQRlJGVEZWRllGZW5GZ24vRmpuUSdub3JtYWxGKEZcby1GanE2OVEjMTdGKEYwRjNGNkZdckY8Rj5GQEZCRkVGSEZKRkxGTkZQRlJGVEZWRllGZW5GZ25GXnJGXG8vJS5saW5ldGhpY2tuZXNzR1EiMUYoLyUrZGVub21hbGlnbkdRJ2NlbnRlckYoLyUpbnVtYWxpZ25HRmhyLyUpYmV2ZWxsZWRHRjhGYnFGZHE3Iy1fRilJLG1wcmludHNsYXNoR0YoNiQ3Iz5JI3RNR0YoIyIjNSIjPDcjRmVz

Now graph the planes and the line using t=tm..tM display({ plot3d(solve(eq10,z),x=-5..5, y=-5..5, color=red), plot3d(solve(eq11,z),x=-5..5, y=-5..5, color=blue), spacecurve(Equation(ln1,t),t=tm..tM, color=black,thickness=8)}, view=-5..5, axes=boxed);

6(-I'CURVESG6$%*protectedGI(_syslibG6"6%7T7%$!"&""!$""%F.$F.F.7%$!+n$=fz%!"*$"+xB%f&QF5$"+%Qg4S#!#67%$!+Nn$=f%F5$"+aZ)=r$F5$"+o2#>![F:7%$!+-^v(Q%F5$"+Jr#yc$F5$"+_6)G?(F:7%$!+pMn$=%F5$"+3&pPU$F5$"+O:%Qg*F:7%$!+P=fzRF5$"+&)=rzKF5$"+#>![+7!#57%$!+/-^vPF5$"+iUlNJF5$"+IidS9FW7%$!+s&G9d$F5$"+Rmf"*HF5$"+pAn!o"FW7%$!+RpMnLF5$"+;!Rv%GF5$"+2$o2#>FW7%$!+1`EjJF5$"+#R"[.FF5$"+YV'3;#FW7%$!+uO=fHF5$"+qPUfDF5$F9FW7%$!+T?5bFF5$"+ZhO:CF5$"+Ak0TEFW7%$!+4/-^DF5$"+C&38F#F5$"+gC:")GFW7%$!+x(QpM#F5$"+,4DF@F5$"+)\[77$FW7%$!+Wr&G9#F5$"+yK>$)>F5$"+OXMhLFW7%$!+7bxQ>F5$"+cc8R=F5$"+u0W,OFW7%$!+!)QpM<F5$"+L!y]p"F5$"+7m`TQFW7%$!+[AhI:F5$"+5/-^:F5$"+]Ej"3%FW7%$!+:1`E8F5$"+(yipS"F5$"+)oG<K%FW7%$!+$)*[C7"F5$"+k^!HE"F5$"+EZ#=c%FW7%$!+1Nn$=*FW$"+Uv%)=6F5$"+k2#>![FW7%$!+$=dG9(FW$"+)=**yu*FW$"+-o,U]FW7%$!+g3/-^FW$"+gHK2$)FW$"+SG6#G&FW7%$!+PXAhIFW$"+KnumoFW$"+y)3A_&FW7%$!+9#3/-"FW$"+/0<EaFW$"+;\IidFW7%$"+4"3/-"FW$"+wUf&)RFW$"+a4S-gFW7%$"+KWAhIFW$"+[!=]a#FW$"+#*p\UiFW7%$"+b2/-^FW$"+?=W/6FW$"+IIf#['FW7%$"+yq&G9(FW$!+!3W8O$F:$"+o!*oAnFW7%$"+,Mn$=*FW$!+O1rw<FW$"+1^yipFW7%$"+s*[C7"F5$!+koG<KFW$"+W6)G?(FW7%$"+01`E8F5$!+#4jyl%FW$"+#=xHW(FW7%$"+PAhI:F5$!+?$R%)4'FW$"+?K2$o(FW7%$"+pQpM<F5$!+[b,RvFW$"+e#pJ#zFW7%$"+-bxQ>F5$!+w<fz*)FW$"+'HlK;)FW7%$"+Mr&G9#F5$!++o,U5F5$"+M8O.%)FW7%$"+m(QpM#F5$!+BW2'="F5$"+stXV')FW7%$"+*R?5b#F5$!+Y?8I8F5$"+5Mb$)))FW7%$"+J?5bFF5$!+p'*=u9F5$"+[%\O7*FW7%$"+jO=fHF5$!+#HZ#=;F5$"+'[XPO*FW7%$"+&HlK;$F5$!+9\Ii<F5$"+C:%Qg*FW7%$"+GpMnLF5$!+PDO1>F5$"+iv$R%)*FW7%$"+g&G9d$F5$!+g,U]?F5$"+gLS35F57%$"+#>5bx$F5$!+$yxW>#F5$"+kHTK5F57%$"+D=fzRF5$!+1a`QBF5$"+oDUc5F57%$"+dMn$=%F5$!+GIf#[#F5$"+r@V!3"F57%$"+*3bxQ%F5$!+^1lEEF5$"+v<W/6F57%$"+@n$=f%F5$!+u#32x#F5$"+z8XG6F57%$"+a$=fz%F5$!+(*ew9HF5$"+$)4Y_6F57%$"+')******\F5$!+?N#)eIF5$"+(eqk<"F5-I'COLOURGF%6&I$RGBGF(F.F.F.-I*THICKNESSGF%6#"")-I%GRIDGF%6&;F,$""&F.F`blX,F(F(I)anythingGF&[gl'!%"!!#\bm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hal$"*++++"!")F1F1-F^bl6&F`blF`blX,F(F(Fdbl[gl'!%"!!#\bm":":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&FhalF1F1Fhbl-I*AXESSTYLEGF%6#I$BOXGF%-I+AXESLABELSGF%6&I"xGF(I"yGF(Q!F(-I%FONTGF(6#I(DEFAULTGF%-I%VIEWGF%6%F]dlF]dlF`bl

Pack this into a procedure and use it for the other two possible intersections of the three planes. The parameters for the procedure IntLine are the equations of the lines, along with the intended intervals for plotting, x=xm..xM, y=ym,yM and the plot color for the line of intersection. IntLine := proc(eq1, eq2,xm,xM,ym,yM,pc) local LineEq, xt1,xt2,yt1,yt2, xtm,xtM,ytm,ytM,tm,tM: plane(pl1,eq1,[x,y,z]): plane(pl2,eq2,[x,y,z]): intersection(ln1,pl1,pl2): LineEq := Equation(ln1,t): xt1:=solve(LineEq[1]=xm,t): xt2:=solve(LineEq[1]=xM,t): yt1:=solve(LineEq[2]=ym,t): yt2:=solve(LineEq[2]=yM,t): xtm := min(xt1,xt2): xtM := max(xt1,xt2): ytm := min(yt1,yt2): ytM := max(yt1,yt2): tm := max(xtm,ytm): tM := min(xtM,ytM): spacecurve(Equation(ln1,t),t=tm..tM, color=pc, thickness=8): end proc;

6$-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibGF(6%-I#miGF%69Q(IntLineF(/%'familyGQ0Times~New~RomanF(/%%sizeGQ#12F(/%%boldGQ&falseF(/%'italicGQ%trueF(/%*underlineGF8/%*subscriptGF8/%,superscriptGF8/%+foregroundGQ*[0,0,255]F(/%+backgroundGQ.[255,255,255]F(/%'opaqueGF8/%+executableGF8/%)readonlyGF;/%)composedGF8/%*convertedGF8/%+imselectedGF8/%,placeholderGF8/%0font_style_nameGQ*2D~OutputF(/%*mathcolorGFD/%/mathbackgroundGFG/%+fontfamilyGF2/%,mathvariantGQ'italicF(/%)mathsizeGF5-I#moGF%63Q#:=F(/%%formGQ&infixF(/%&fenceGF8/%*separatorGF8/%'lspaceGQ/thickmathspaceF(/%'rspaceGF[p/%)stretchyGF8/%*symmetricGF8/%(maxsizeGQ)infinityF(/%(minsizeGQ"1F(/%(largeopGF8/%.movablelimitsGF8/%'accentGF8/%0font_style_nameGFX/%%sizeGF5/%+foregroundGFD/%+backgroundGFG-F$6)-F_o63Q%procF(/FcoQ!F(FeoFgo/FjoQ$0emF(/F]pF^rF^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdq-F$6%-F_o63Q"(F(/FcoQ'prefixF(/FfoF;Fgo/FjoQ.thinmathspaceF(/F]pFir/F_pF;F`pFbpFepFhpFjpF\qF^qF`qFbqFdq-F$6/-F-69Q$eq1F(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\o-F_o63Q",F(FboFeo/FhoF;F]r/F]pQ3verythickmathspaceF(F^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdq-F-69Q$eq2F(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q#xmF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q#xMF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q#ymF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q#yMF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q#pcF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\o-F_o63Q")F(/FcoQ(postfixF(FgrFgoFhr/F]pQ2verythinmathspaceF(F[sF`pFbpFepFhpFjpF\qF^qF`qFbqFdq-I'mspaceGF%6&/%'heightGQ'0.0~exF(/%&widthGQ'0.3~emF(/%&depthGFeu/%*linebreakGQ1firstprocnewlineF(-F$6&-F_o63Q&localF(F[rFeoFgoF]r/F]pQ0mediummathspaceF(F^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdq-F$67-F-69Q'LineEqF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q$xt1F(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q$xt2F(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q$yt1F(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q$yt2F(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q$xtmF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q$xtMF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q$ytmF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q$ytMF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q#tmF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q#tMF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\o-F_o63Q";F(FboFeoFdsF]rF\pF^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdqF`u-F$61-F$6%-F$6%-F$6%Fbr-F$6%-F-69Q'geom3dF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\o-F_o63Q#:-F(F[rFeoFgoF]rF_rF^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdq-F-69Q&planeF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFit-F_o63Q0&ApplyFunction;F(FboFeoFgoF]rF_rF^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdq-F$6%Fbr-F$6'-F-69Q$pl1F(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFasF^sFas-F$6%-F_o63Q"[F(FerFgrFgoFhrFjrF[sF`pFbpFepFhpFjpF\qF^qF`qFbqFdq-F$6'-F-69Q"xF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q"yF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFas-F-69Q"zF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\o-F_o63Q"]F(F\uFgrFgoFhrF^uF[sF`pFbpFepFhpFjpF\qF^qF`qFbqFdqFitFhxF`u-F$6%-F$6%FayF^z-F$6%Fbr-F$6'-F-69Q$pl2F(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFasFgsFasFhzFitFhxF`u-F$6%-F$6%-F$6%Fbr-F$6%FeyFhy-F-69Q-intersectionF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFitF^z-F$6%Fbr-F$6'-F-69Q$ln1F(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFasFezFasFc\lFitFhxF`u-F$6%-F$6%FgvF^o-F$6%-F$6%Fbr-F$6%FeyFhy-F-69Q)EquationF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFitF^z-F$6%Fbr-F$6%Fe]lFas-F-69Q"tF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFitFhxF`u-F$6%-F$6%FjvF^o-F$6%-F-69Q&solveF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oF^z-F$6%Fbr-F$6%-F$6%-F$6&FgvFjz-F$6#-I#mnGF%69FgpF0F3F6/F:F8F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgn/FjnQ'normalF(F\oFh[l-F_o63Q"=F(FboFeoFgoFioF\pF^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdqFjsFasFi^lFitFhxF`u-F$6%-F$6%F]wF^o-F$6%Fb_lF^z-F$6%Fbr-F$6%-F$6%F[`lFe`lF]tFasFi^lFitFhxF`u-F$6%-F$6%F`wF^o-F$6%Fb_lF^z-F$6%Fbr-F$6%-F$6%-F$6&FgvFjz-F$6#-F``l69Q"2F(F0F3F6Fb`lF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFc`lF\oFh[lFe`lF`tFasFi^lFitFhxF`u-F$6%-F$6%FcwF^o-F$6%Fb_lF^z-F$6%Fbr-F$6%-F$6%F`blFe`lFctFasFi^lFitFhxF`u-F$6%-F$6%FfwF^o-F$6%-F-69Q$minF(F0F3F6Fb`lF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFc`lF\oF^z-F$6%Fbr-F$6%FjvFasF]wFitFhxF`u-F$6%-F$6%FiwF^o-F$6%-F-69Q$maxF(F0F3F6Fb`lF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFc`lF\oF^zF\dlFhxF`u-F$6%-F$6%F\xF^o-F$6%FiclF^z-F$6%Fbr-F$6%F`wFasFcwFitFhxF`u-F$6%-F$6%F_xF^o-F$6%FfdlF^zF_elFhxF`u-F$6%-F$6%FbxF^o-F$6%FfdlF^z-F$6%Fbr-F$6%FfwFasF\xFitFhxF`u-F$6%-F$6%FexF^o-F$6%FiclF^z-F$6%Fbr-F$6%FiwFasF_xFitFhxF`u-F$6%-F-69Q+spacecurveF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oF^z-F$6%Fbr-F$6)F\^lFas-F$6%Fi^lFe`l-F$6%Fbx-F_o63Q#..F(F\uFeoFgo/FjoFdvF_rF^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdqFexFas-F$6%-F-69Q&colorF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFe`lFftFas-F$6%-F-69Q*thicknessF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\oFe`l-F``l69Q"8F(F0F3F6Fb`lF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFc`lF\oFit-Fau6&Fcu/FguQ'0.0~emF(Fiu/F\vQ6decreaseindentnewlineF(-F_o63Q)end~procF(F[rFeoFgoF]hlF_rF^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdq7#-_F)I,mprintslashGF(6$7#>I(IntLineGF(f*6)I$eq1GF(I$eq2GF(I#xmGF(I#xMGF(I#ymGF(I#yMGF(I#pcGF(6-I'LineEqGF(I$xt1GF(I$xt2GF(I$yt1GF(I$yt2GF(I$xtmGF(I$xtMGF(I$ytmGF(I$ytMGF(I#tmGF(I#tMGF(F(F(C1-_I'geom3dG6$%*protectedGF*I&planeGF(6%I$pl1G=F(I&falseGFf[mE\[l'I+normalvectGF(7%""#""$"""I&znameG6$Ff[m/F'Fd[mI"zGF(I%formGFc\mI(plane3dGF(I'coeffsGFf[m7,""!Fj\mFj\mFj\mFj\mFj\mF_\mF`\mFa\m!"#I&ynameGFc\mI"yGF(I&xnameGFc\mI"xGF(F^jl7%F_]mF]]mFe\m-Fc[m6%I$pl2G=F(F[\mE\[l'F]\m7%F_\m""%""(Fb\mFe\mFf\mFg\mFh\m7,Fj\mFj\mFj\mFj\mFj\mFj\mF_\mFg]mFh]m!"'F\]mF]]mF^]mF_]mF_jlF`]m-_Fd[mI-intersectionGF(6%I$ln1G=F(F[\mE\[l(I&znameGF(Fe\mI&xnameGF(F_]mI'fixedpGF(I(pl1_pl2G=F(F[\mE\[l#Ff\mI(point3dGF(I'coordsGF(7%!"&Fg]mFj\mI(indnameGF(I"tGF(I&ynameGF(F]]mFf\mI'line3dGF(I&paravGF(7%"#<!#7F_\mFi[mFc]m>Ffjl-_Fd[mI)EquationGF(6$F_^mF]_m>Fgjl-I&solveGFe[m6$/&Ffjl6#Fa\mF`jlF]_m>Fhjl-F[`m6$/F^`mFajlF]_m>Fijl-F[`m6$/&Ffjl6#F_\mFbjlF]_m>Fjjl-F[`m6$/Fh`mFcjlF]_m>F[[m-I$minGFf[m6$FgjlFhjl>F\[m-I$maxGFf[mFaam>F][m-F`am6$FijlFjjl>F^[m-FdamFgam>F_[m-Fdam6$F[[mF][m>F`[m-F`am6$F\[mF^[m-I+spacecurveGF(6&Fe_m/F]_m;F_[mF`[m/I&colorGF(Fdjl/I*thicknessGF("")F(F(F(7#F\jl

We can now plot a pair of planes and the line of intersection. display({ plot3d(solve(eq11,z),x=-5..5, y=-5..5, color=red), plot3d(solve(eq12,z),x=-5..5, y=-5..5, color=green), IntLine(eq11,eq12,-5,5,-5,5,black)}, view=-5..5, axes=boxed);

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