Question

In reperul cartezian xOy se considera punctele A(1,3) si B(7,12). Determinati coordonatele punctului M, stiind ca AM(vector)= 1/3 AB(vector).

Answer 1

Fie M( c , d ) ∈ xOy ;
AM( vector ) are coordonatele ( c - 1 , d - 3 ) ;
AB ( vector ) are coordonatele ( 6 , 9 ) ;
AM(vector)= 1/3 AB(vector) <=> c - 1 = 2 si d - 3 = 3 => c = 3 si d = 6 => M( 3 , 6 ) ;
Bafta !