Answer to Question #348424 in Linear Algebra for Iqi

Question

u+v =3,4 and u ➖ v=1, ➖ 2 then find v and u

Answer 1

$$u_1+v_1=3$$

$$u_1-v_1=1$$

Then $u_1=2, v_1=1.$

$$u_2+v_2=4$$

$$u_2-v_2=2$$

Then $u_2=3, v_2=1.$

Therefore $\vec{u}=\langle2, 3\rangle,\vec{v}=\langle1, 1\rangle.$