If `vec(a), vec(b)` and `vec(c)` are unit vectors such that `vec(a)+2vec(b)+2vec(c)=0` then `|vec(a)timesvec(c)|` is equal to

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

Let vec(a), vec(b) and vec(c) be three vectors such that vec(a) + vec(b) + vec(c) = 0 and |vec(a)|=10, |vec(b)|=6 and |vec(c) |=14 . What is vec(a). vec(b) + vec(b).vec(c)+ vec(c). vec(a) . equal to ?

If vec(a).vec(b) and vec(c ) are unit vectors such that vec(a) is perpendicular to the plane of vec(b) , vec(c ) and the angle between vec(b) and vec(c ) is (pi)/(3) . Then what is |vec(a) +vec(b)+vec(c )| ?

Let vec a , vec b , vec c be the three unit vectors such that vec a+5 vec b+3 vec c= vec0 , then vec a. ( vec bxx vec c) is equal to

If vec(a) , vec(b), vec(c) are unit vectors such that vec(a) is perpendicular to the plane of vec(b), vec(c) , and the angle between vec(b) and vec(c) is (pi)/(3) Then, what is |vec(a)+vec(b)+vec(c)| ?

If vec(a), vec(b) and vec(c ) are mutually perpendicular unit vectors and vec(a)xx vec(b)=vec(c ) , show that vec(b)=vec(c )xx vec(a) and vec(a)=vec(b)xx vec(c ) .

If vec a,vec b, and vec c are unit vectors such that vec a+vec b+vec c=0, then find the value of vec a*vec b+vec b*vec c+vec c*vec a

vec(a)+vec(b)+vec(c)=vec(0) such that |vec(a)|=3, |vec(b)|=5 and |vec(c)|=7 . What is vec (a). vec(b) + vec(b). vec(c) + vec(c). vec (a) equal to ?