disp('>> % 	INNER PRODUCT');     % 	INNER PRODUCT     GAfigure; clc; %/     disp('>> % 	INNER PRODUCT');     % 	INNER PRODUCT     disp('>> %');     %     global x B v w; %/     clf; %/     disp('>> % 	The inner product of two vectors is a scalar ');     % 	The inner product of two vectors is a scalar      disp('>> % 	(its magnitude denotes the relative angle)');     % 	(its magnitude denotes the relative angle)     fprintf(1,'\n');     disp('>> v = e1;');     v = e1;     disp('>> w = unit(e1 + e2);');     w = unit(e1 + e2);     draw(v,'b'); %/     GAtext(0.7*v - 0.1*unit(e2^v)/I3,'v'); %/     draw(w,'g'); %/     GAtext(0.7*w + 0.1*unit(e2^w)/I3,'w'); %/     fprintf(1,'>> inner(v,w)  ');     input('');     inner(v,w) %w     disp('>> % Geometrically, this is a zero-dimensional subspace:');     % Geometrically, this is a zero-dimensional subspace:     disp('>> % a weighted point at the origin.');     % a weighted point at the origin.     draw(inner(v,w),'r'); %/     draw(I3/100000,'r'); %/     GAprompt; %/     fprintf(1,'\n');     disp('>> % 	The inner product x.B of a vector x and a bivector B is ');     % 	The inner product x.B of a vector x and a bivector B is      disp('>> % 	a vector in B, perpendicular to x');     % 	a vector in B, perpendicular to x     disp('>> % 	(its magnitude denotes the relative angle)');     % 	(its magnitude denotes the relative angle)     fprintf(1,'\n');     clf; %/     disp('>> x = unit(e1 + e3); ');     x = unit(e1 + e3);      draw(x,'b'); %/     GAtext(0.7*x + 0.1*unit(e2^x)/I3,'x'); %/     disp('>> B = e1^e2; ');     B = e1^e2;      draw(B,'y'); %/     GAtext(-0.5*v+0.1*B/I3,'B'); %/     fprintf(1,'>> inner(x,B)  ');     input('');     inner(x,B) %w     axis off; %/     draw(inner(x,B),'r'); %/     GAtext(inner(x,B)+0.1*B/I3,'x \bullet B'); GAprompt; %/      disp('>> %	Spinning shows that x.B is "the part of B least like x".');     %	Spinning shows that x.B is "the part of B least like x".     GAorbiter(-360,10); %/