\exo{Du calcul \dots} \itemitemalph Calculer $\vec v_1 \cdot \vec v_2$ lorsque $$ \Vert \vec v_1 \Vert = 3, \qquad \Vert \vec v_2 \Vert = 8, \qquad \widehat{(\vec v_1, \vec v_2)} = 120^\circ. $$ \itemitemalph Calculer $\Vert \vec v_2 \Vert$ lorsque $$ \Vert \vec v_1 \Vert = 5, \qquad \vec v_1 \cdot \vec v_2 = 50, \qquad \widehat{(\vec v_1, \vec v_2)} = {\pi\over3} $$ \itemitemalph Calculer $\widehat{(\vec v_1, \vec v_2)}$ lorsque $$ \Vert \vec v_1 \Vert = 15, \qquad \Vert \vec v_2 \Vert = 8, \qquad \vec v_1 \cdot \vec v_2 = 60 $$ \finexo