Vetores

	A+u⃗ =(a1+u1,a2+u2)${\displaystyle A+\overrightarrow{u}=(a_1+u_1,a_2+u_2)}$	ex : A(4,5)${\displaystyle A(4,5)}$ e u⃗ (3,2)${\displaystyle \overrightarrow{u}(3,2)}$ A+u⃗ =(4+3,5+2)⇔A+u⃗ =(7,7)${\displaystyle A+\overrightarrow{u}=(4+3,5+2)\iff A+\overrightarrow{u}=(7,7)}$
	u⃗ +v⃗ =(u1+v1,u2+v2)${\displaystyle \overrightarrow{u}+\overrightarrow{v}=(u_1+v_1,u_2+v_2)}$	ex : u⃗ (6,3)${\displaystyle \overrightarrow{u}(6,3)}$ e v⃗ (2,1)${\displaystyle \overrightarrow{v}(2,1)}$ u⃗ +v⃗ =(6+2,3+1)⇔u⃗ +v⃗ =(8,4)${\displaystyle \overrightarrow{u}+\overrightarrow{v}=(6+2,3+1)\iff \overrightarrow{u}+\overrightarrow{v}=(8,4)}$
	k×u⃗ =(k×u1,k×u2)${\displaystyle k\times \overrightarrow{u}=(k\times u_1,k\times u_2)}$	ex : k=2${\displaystyle k=2}$ e u⃗ (3,4)${\displaystyle \overrightarrow{u}(3,4)}$ k×u⃗ =(2×3,2×4)⇔k×u⃗ =(6,8)${\displaystyle k\times \overrightarrow{u}=(2\times 3,2\times 4)\iff k\times \overrightarrow{u}=(6,8)}$
	Produto Escalar ou Produto Interno	u⃗ .v⃗ =u1×v1+u2×v2${\displaystyle \overrightarrow{u}.\overrightarrow{v}=u_1\times v_1+u_2\times v_2}$	ex : u⃗ (2,1)${\displaystyle \overrightarrow{u}(2,1)}$ e v⃗ (0,3)${\displaystyle \overrightarrow{v}(0,3)}$ u⃗ .v⃗ =2×0+1×3${\displaystyle \overrightarrow{u}.\overrightarrow{v}=2\times 0+1\times 3}$ u⃗ .v⃗ =3${\displaystyle \overrightarrow{u}.\overrightarrow{v}=3}$
		u⃗ .v⃗ =||u⃗ ||×||v⃗ ||×cos(u⃗ ^v⃗ )${\displaystyle \overrightarrow{u}.\overrightarrow{v}=\left|\left|\overrightarrow{u}\right|\right|\times \left|\left|\overrightarrow{v}\right|\right|\times \cos (\overrightarrow{u}^\overrightarrow{v})}$
	vetores diretores das retas: u⃗ ${\displaystyle \overrightarrow{u}}$ e v⃗ ${\displaystyle \overrightarrow{v}}$ ângulo formado: α${\displaystyle \alpha }$	cosα=|u⃗ .v⃗ |||u⃗ ||×||v⃗ ||${\displaystyle \cos \alpha =\frac{|\overrightarrow{u}.\overrightarrow{v}|}{\left|\left|\overrightarrow{u}\right|\right|\times \left|\left|\overrightarrow{v}\right|\right|}}$
Para utilizar os conceitos anteriores no espaço, basta acrescentar uma terceira coordenada.