If `vec(a), vec(b)" and "vec(c)` are three unit vectors such that `vec(a)+vec(b)+vec(c)=vec(O)`, find the value of `vec(a).vec(b)+vec(b).vec(c)+vec(c).vec(a)`.

If vec(a), vec(b), vec(c ) are unit vectors such that vec(a) + vec(b) + vec(c )= vec(0), " then " vec(a).vec(b) + vec(b).vec(c ) + vec(c ).vec(a) =

If vec(a),vec(b),vec(c ) are unit vectors such that 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 vec(a), vec(b),vec(c ) are three vectors such that |vec(a)| = 5, |vec(b)| = 12 and |vec(c )| = 13 and vec(a) + vec(b) + vec(c ) = vec(0) , 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 unit vectors such that vec(a)+vec(b)+vec(c)=0 , then 3vec(a).vec(b)+2vec(b).vec(c)+vec(c).vec(a)=

The value of [vec(a)-vec(b) vec(b)-vec(c) vec(c)-vec(a)] is equal to

If vec(a), vec(b) and vec(c ) are three unit vectors such that vec(a).vec(b) = vec(a).vec(c ) = 0 and angle between vec(b) and vec(c ) is (pi)/(6) , prove that vec(a) = +-2(vec(b) xx vec(c )) .

If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec c = vec 0 , then the value of vec a . vec b + vec b.vec c + vec c vec a is equal to

If vec(a) and vec(b) are perpendicular vectors |vec(a) + vec(b)| = 13 and |vec(a)| = 5 , find the value of |vec(b)|

If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |vec(a)| , then prove tat 2vec(a) + vec(b) is perpendicular to vec(b) .

Three vectors overline(a),overline(b) and overline(c) satisfy the condition vec(a)+vec(b)+vec(c)=vec(0) evaluate mu=vec(a).vec(b)+vec(b).vec(c)+vec(c).vec(a) if |vec(a)|=1,|vec(b)|=4 and |vec(c)|=2