/ 033 - Calcule o ângulo entre os vetores.. Calcule o ângulo entre os vetores (#a, #b) e (#c, #d).

Exprimir o resultado em graus, como no exemplo 37.16º.

Ao expressar o resultado use apenas duas casas decimais e um ponto para separação das mesmas, sem a unidade.

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover»«mi»v«/mi»«mo»§#8640;«/mo»«/mover»«mo»=[#a,#b]«/mo»«/math» e «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover»«mi»u«/mi»«mo»§#8640;«/mo»«/mover»«mo»=[#a,#b]«/mo»«/math».

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»r«/mi»«mo»=«/mo»«mi»a«/mi»«mi»r«/mi»«mi»cos«/mi»«mfenced»«mfrac»«mfenced open=¨§lt;¨ close=¨§#62;¨»«mrow»«mover»«mi»u«/mi»«mo»§#8640;«/mo»«/mover»«mo»,«/mo»«mover»«mi»v«/mi»«mo»§#8640;«/mo»«/mover»«/mrow»«/mfenced»«mrow»«mfenced open=¨||¨ close=¨||¨»«mover»«mi»u«/mi»«mo»§#8640;«/mo»«/mover»«/mfenced»«mo»§#183;«/mo»«mfenced open=¨||¨ close=¨||¨»«mover»«mi»v«/mi»«mo»§#8640;«/mo»«/mover»«/mfenced»«/mrow»«/mfrac»«/mfenced»«mo»§#183;«/mo»«mfrac»«msup»«mn»360«/mn»«mi»o«/mi»«/msup»«mrow»«mn»2«/mn»«mo»§#183;«/mo»«mi mathvariant=¨normal¨»§#960;«/mi»«/mrow»«/mfrac»«/math»

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»r«/mi»«mo»=«/mo»«mo»#«/mo»«msup»«mi»r«/mi»«mi»o«/mi»«/msup»«/math»

Você pode chegar a solução usando os seguintes comandos do Matlab:

v=[1 6]; u=[2 4];
ang=acos(dot(v,u)/(norm(v)*norm(u)))*360/(2*pi)

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