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Jkiatoko
@Jkiatoko
April 2019
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Soit A(4;6) , B(2;3) et C(0;y) déterminer le réel k pour que A,B et C soient alignés
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senmusa
Vect(AB) = (2-4 ; 3-6) = (-2 ; -3)
vect(AC) = (-4 ; y-6)
il faut que vect(AB) = k*vect(AC) <==> (-2; -3) = k(-4 ; y - 6)
==> composantes x ==> -2 = (-4)*k <==> k= 1/2
==> composantes y ==> -3 = (1/2)(y - 6) <==> -6 = y - 6 ==> y=0
===> C=(0; 0)
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vect(AC) = (-4 ; y-6)
il faut que vect(AB) = k*vect(AC) <==> (-2; -3) = k(-4 ; y - 6)
==> composantes x ==> -2 = (-4)*k <==> k= 1/2
==> composantes y ==> -3 = (1/2)(y - 6) <==> -6 = y - 6 ==> y=0
===> C=(0; 0)