Question

aflati numerele reale x si y pentru care sunt egali vectorii: a) (3;2y-4) si ( 5x-7; 4y+2) b) ( 3x;5y-2) si (5x-2; 3y+4)

Answer 1

A(3;2y-4), B(5x-7;4y+2) ⇒ vector AB=(5x-7-3)i+(4y+2+4)j, AB=(5x-10)i+(4y+6)j
C(3x;5y-2), D(5x-2;3y+4) ⇒ CD=(5x-2-3x)i+(3y+4-5y+2)j, CD=(2x-2)i+(-2y+6)j
AB=CD
5x-10=2x-2 ⇒ x=8/3
4y+6=-2y+6 ⇒ y=0