Question

Va rog ex 8 un raspuns corect si intreg dau coroana!

Answer 1

$AB (vector) = (x_B-x_A)i(vector)+(y_B-y_A)j(vector)\\AM(vector)=(x_M-x_A)i(vector)+(y_M-y_A)j(vector)$

cum AM(vector)=2/3AB(vector)

=> 3AM(vector)=2AB(vector)

=>3 $[(x_B-x_A)i(vector)+(y_B-y_A)j(vector)]$=2$[(x_M-x_A)i(vector)+(y_M-y_A)j(vector)]$

=>18i(vector)+27j(vector)=$2(x_M-1)i(vector)+2(y_M-3)$

=>$\left \{ {{2x_M-2=18} \atop {2y_M-6=27}} \right.$

$x_M=10\\y_M=21/2$