|vector{a}+vector{b}|^2=(vector{a}+vector{b})(vector{a}+vector{b})=
=vector{a}*vector{a}+vector{a}*vector{b}+vector{b}*vector{a}+vector{b}*vector{b}=|vector{a}|^2+2*vector{a}*vector{b}+|vector{b}|^2
24^2=13^2+ 2* vector{a}*vector{b}+19^2 ⇒
2* vector{a}*vector{b}=[blue]24^2-13^2-19^2[/blue]
|vector{a}-vector{b}|^2=(vector{a}-vector{b})(vector{a}-vector{b})=
=|vector{a}|^2-2*vector{a}*vector{b}+|vector{b}|^2=
=13^2[blue]-24^2+13^2+19^2[/blue]+ 19^2=[b]2*13^2+2*19^2-24^2[/b]