If `vec(a)+vec(b)+vec(c )=0 " and" |vec(a)|=3,|vec(b)|=5, |vec(c )|=7`, then find the value of `vec(a),vec(b)+vec(b).vec(c )+vec(c ).vec(a)`.

If vec(a),vec(b) and vec(c ) are three vectors such that vec(a)+vec(b)+vec(c )=vec(0) and |vec(a)|=2,|vec(b)|=3 and |vec(c )|=5 , then the value of vec(a)*vec(b)+vec(b)*vec(c)+vec(c)*vec(a) is

If vec(a), vec(b), vec(c ) are three vectors such that vec(a) + vec(b) + vec(c ) = 0 and | vec(a) | =2, |vec(b) | =3, | vec(c ) = 5 , then the value of vec(a). vec(b) + vec(b) . vec( c ) + vec(c ).vec(a) is

If |vec(a)|=3, |vec(b)|=1, |vec(c )|=4 and vec(a) +vec(b) + vec( c)=0 , then the value of vec(a).vec(b) + vec(b).vec(c )+vec(c ).vec(a) is equal to

If the vectors vec(a), vec(b) and vec(c ) satisfy the condition vec(a)+vec(b)+vec(c )=vec(0) and |vec(a)|=3, |vec(b)| =4 and |vec(c )|=5 , then show that vec(a).vec(b)+vec(b).vec(c )+vec(c ). vec(a)=-25 .

Three vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) + vec(c ) = vec(0) , if |vec(a)| = 1 |vec(b)| = 4 and |vec(c )|= 2 , then find the value of mu = (vec(a).vec(b) +vec(b).vec(c ) + vec(c ).vec(a))

For three vectors vec(a),vec(b) and vec( c ),vec(a)+vec(b)+vec( c )=vec(0)|vec(a)|=3,|vec(b)|=4,|vec( c )|=5 , then evaluate 2(vec(a)*vec(b)+vec(b)*vec( c )+vec( c )*vec(a)) .