1> a = [1; 3]
a =

   1
   3



2> b = [-3; 1]
b =

  -3
   1



3> c = a + b
c =

  -2
   4



4> d = a - b
d =

   4
   2



5> quiver(0, 0, a(1), a(2))


6> hold on


7> quiver(0, 0, b(1), b(2))


8> axis equal


9> quiver(a(1), a(2), b(1), b(2))


10> quiver(0, 0, c(1), c(2),'r')


11> quiver(b(1), b(1), d(1), d(2),'g')


12> quiver(b(1), b(2), d(1), d(2),'g')


13> grid on


14> axis off


15> print("vettori.pdf")


16> axis on


17> axis equal


18> acos(dot(a,b)/(norm(a)*norm(b)))
ans =  1.5708


19> acos(dot(a,b)/(norm(a)*norm(b))) * 180/pi
ans =  90


20> % distanza tra i punti (-2, 4) e (1, -1)


20> norm([-2 4] - [1 -1])
ans =  5.8310


21> [-2 4] - [1 -1]
ans =

  -3   5



22> quiver(0,0,-3,5,'k')


23> quiver(1,-1,-3,5,'k')


24> hold off


25> a(3) = 2
a =

   1
   3
   2



26> b(3) = -1
b =

  -3
   1
  -1



27> quiver3(0,0,0, a(1), a(2), a(3))


28> axis equal


29> quiver3(0,0,0, a(1), a(2), a(3))


30> hold on


31> quiver3(0,0,0, b(1), b(2), b(3))


32> quiver3(0,0,0, b(1), b(2), b(3))


33> grid on


34> d = a - b
d =

   4
   2
   3



35> quiver3(b(1),b(2),b(3), d(1), d(2), d(3))


36> quiver3(b(1),b(2),b(3), d(1), d(2), d(3),'g')


37> hold off


38> quiver3(0,0,0, a(1), a(2), a(3))


39> hold on


40> quiver3(0,0,0, b(1), b(2), b(3))


41> quiver3(b(1),b(2),b(3), d(1), d(2), d(3),'g')


42> c = a + b
c =

  -2
   4
   1



43> quiver3(0,0,0, c(1), c(2), c(3),'r')


44> quiver3(a(1),a(2),a(3), b(1), b(2), b(3))


45> quiver3(b(1),b(2),b(3), a(1), a(2), a(3))


46> axis equal


47> hold off


48> diagspaz = [1 1 1]
diagspaz =

   1   1   1



49> norm(diagspaz)
ans =  1.7321


50> acos(dot(diagspaz,[1 1 0])/sqrt(6)) *  180/pi
ans =  35.264


51> ans -35
ans =  0.26439


52> ans * 60
ans =  15.863


53> a
a =

   1
   3
   2



54> b
b =

  -3
   1
  -1



55> prodvett = cross(a,b)
prodvett =

   -5
   -5
   10



56> dot(prodvett,a)
ans = 0


57> dot(prodvett,b)
ans = 0


58> norm(prodvett)
ans =  12.247


59> quiver3(0,0,0,a(1),a(2),a(3))


60> quiver3(0,0,0,b(1),(2),b(3),'g')


61> hold on


62> quiver3(0,0,0,a(1),a(2),a(3))


63> quiver3(0,0,0,prodvett(1),prodvett(2),prodvett(3),'r')


64> prodvett2 = cross(2*a,b)
prodvett2 =

  -10
  -10
   20



65> norm(prodvett2)
ans =  24.495


66> quiver3(0,0,0,prodvett2(1),prodvett2(2),prodvett2(3),'k')


67> quiver3(b(1),b(2),b(3),a(1),a(2),a(3))


68> quiver3(a(1),a(2)a(3),b(1),(2),b(3),'g')
parse error:

  syntax error

>>> quiver3(a(1),a(2)a(3),b(1),(2),b(3),'g')
                     ^



68> quiver3(a(1),a(2), a(3),b(1),(2),b(3),'g')


69> quit