||'''Book'''|| Advanced Engineering Mathematics || ||'''Author'''|| Erwin Kreyszig || ||'''Edition'''|| 8th Edition || /* code_begins */ {{{ from sage.misc.latex import JSMathExpr print JSMathExpr("V(x,y,z)=W*r=W*[x,y,z]=W*(xi+yj+zk)"),'\n' var('x,y,z,w,t') r=vector([x,y,z]) print 'Radius vector is r = ',r,'\n' print JSMathExpr("W=w*k"),'\n' W=vector([0,0,w]) print 'Vector for Angular velocity is w = ',W,'\n' V=W.cross_product(r) print 'Cross product of w and r is w * r = ',V,'\n' print JSMathExpr("Example for W=2*k and r is on the disc below:"),'\n' w=2 disc = parametric_plot3d((2*sin(t),2*cos(t),0),(t,0,2*pi),aspect_ratio=1) line = plot(vector([0,0,w])) show(line+disc+plot(vector([0,10,0])),xmin=-2,xmax=2) }}} /* code_ends */ * '''Solution by''': * , ,