R
Ingenieurmathematik Prüfung 2
20.August2003
Zeit 90 Minuten, Reihenfolge beliebig, 8 Punkte pro Hauptaufgabe,
40 Pt. = N.6.
A = [14 0 0]'; B=[8 8 0]'; C=[8 0 8]' n = cross(B-A,C-A), ne = n/norm(n), d = ne'*A %n =[ 64 48 48]; ne = [ 0.6860 0.5145 0.5145]'; d= 9.6039 ys = d/ne(2) ; Sy = [ 0 ys 0]' ne'*Sy-d % ys = 18.6667 zs = d/ne(3) ; Sz = [ 0 0 zs]' ne'*Sz-d % zs = 18.6667
Rur = [0 8 8 0 0; 0 0 2 2 0; 1 1 1 1 1]; T1 = [1 0 -5; 0 1 -5; 0 0 1]; RTb = [0 1 5; -1 0 5; 0 0 1]; TT = RTb*T1 % TT= [0 1 0; -1 0 12; 0 0 1] R1 = TT*Rur, R2 = TT^2*Rur, R3=TT^3*Rur, hold on plot(Rur(1,:),Rur(2,:),'k'); plot(R1(1,:),R1(2,:),'r'); plot(R2(1,:),R2(2,:),'g'); plot(R3(1,:),R3(2,:),'b'); axis([-1 11 -1 11]); axis square; hold off