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parallel to the x-y plane, around th e z-axis\n" }{MPLTEXT 1 0 50 "Txy := Matrix(3,3,[ [cos(theta), -sin(th eta), 0],\n" }{MPLTEXT 1 0 50 " [sin(theta), cos(t heta), 0],\n" }{MPLTEXT 1 0 52 " [ 0, \+ 0, 1]]);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "-I'MatrixG6$%*protect edGI(_syslibG6\"6#/I$%idGF'\"5QY#>A!3WnW=" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "rotxy := proc(vec, angel)\n" }{MPLTEXT 1 0 32 " # \+ vec to be rotated by angel\n" }{MPLTEXT 1 0 57 " MatrixVectorMultipl y(subs(theta = angel, Txy) , vec);\n" }{MPLTEXT 1 0 5 "end;\n" }} {PARA 11 "" 1 "" {XPPMATH 20 "f*6$I$vecG6\"I&angelGF%F%F%F%-_I.LinearA lgebraG6$%*protectedGI(_syslibGF%I5MatrixVectorMultiplyGF%6$-I%subsGF+ 6$/I&thetaGF%9%I$TxyGF%9$F%F%F%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "v := Vector([1,2,3]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "-&I'Vec torG6$%*protectedGI(_syslibG6\"6#I'columnGF(6#/I$%idGF(\"5eZ#>A!3WnW=" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "vrot := rotxy(v, Pi/2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "-&I'VectorG6$%*protectedGI(_syslibG6 \"6#I'columnGF(6#/I$%idGF(\"5)*\\#>A!3WnW=" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 10 "Norm(v,2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "*$\"#9# \"\"\"\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "Norm(vrot,2) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "*$\"#9#\"\"\"\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(plots):\n" }{MPLTEXT 1 0 27 "k := 8: # number of frames\n" }{MPLTEXT 1 0 9 "L := []:\n" }{MPLTEXT 1 0 21 "for i from 0 to k do\n" }{MPLTEXT 1 0 25 "plt[i] := polygonplot3 d(\n" }{MPLTEXT 1 0 48 " rotxy(Vector([1,0,0]), i*2*Pi/k) ,\n" }{MPLTEXT 1 0 48 " rotxy(Vector([0,2,0]), i*2*Pi/k), \n" }{MPLTEXT 1 0 47 " rotxy(Vector([0,0,3]), i*2*Pi/k)\n " }{MPLTEXT 1 0 16 " ,\n" }{MPLTEXT 1 0 29 " \+ axes = normal,\n" }{MPLTEXT 1 0 28 " style = patch\n" } {MPLTEXT 1 0 42 " #,orientation = [-25,75]\n):\n" } {MPLTEXT 1 0 22 "L := [op(L), plt[i]]:\n" }{MPLTEXT 1 0 4 "od:\n" }}} {PARA 0 "" 0 "" {TEXT 210 116 "In order to see the animation, click on 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