1.
If a,b\vec{a}, \vec{b} and c\vec{c} are unit vectors satisfying ab2+bc2+ca2=9|\vec{a} - \vec{b}|^2 + |\vec{b} - \vec{c}|^2 + |\vec{c} - \vec{a}|^2 = 9, then 2a+5b+5c|2\vec{a} + 5\vec{b} + 5\vec{c}| is