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Fie punctele A(7:-4) B (2:5) C (-1:2).Determinati coordonatele D,daca AB vectorial=CD vectorial

Răspuns :

7:-4,3,21 B2.21

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Lia96
AB(vector)=(xA+xB)*i(vector)+(yA+yB)*j(vector)
                =(7+2)*i(vector)+(-4+5)*j(vector)
                =9*i(vector)+*j(vector)

CD(vector)=(xC+xD)*i(vector)+(yC+yD)*j(vector)
                =(-1+xD)*i(vector)+(2+yD)*j(vector)

(-1+xD)*i(vector)+(2+yD)*j(vector)=9*i(vector)+*j(vector)
(-1+xD)=9=> xD=10
(2+yD)=1=> yD=-1

D(10, -1)