1.
a,b,c\vec{a}, \vec{b}, \vec{c} are three vectors such that a=3|\vec{a}| = 3, b=5|\vec{b}| = 5, c=7|\vec{c}| = 7. If a,b,c\vec{a}, \vec{b}, \vec{c} are perpendicular to the vectors b+c\vec{b} + \vec{c}, c+a\vec{c} + \vec{a}, a+b\vec{a} + \vec{b} respectively, then (a+b+c)22=\sqrt{(\vec{a} + \vec{b} + \vec{c})^2 - 2} =