Let `vec(u),vec(v),vec(w)" be vectors such that "vec(u)+vec(v)+vec(w)=vec(0)." If abvec(u)=3,absvec(v)=4,absvec(w)=5" then "vec(u).vec(v)+vec(v).vec(w)+vec(w).vec(u)` is ……………

If vec(a)=absvec(a)vec(e)" then "vec(e).vec(e) is

Let vec u , vec va n d vec w be vectors such that vec u+ vec v+ vec w=0. If | vec u|=3,| vec v|=4a n d| vec w|=5, then vec udot vec v+ vec vdot vec w+ vec wdot vec u is a. 47 b. -25 c. 0 d. 25

Let vec(a),vec(b)andvec(c) be three non-coplanar vectors and let vec(p),vec(q),vec(r) be the vectors defined by the relations vec(p)=(vec(b)xxvec(c))/([vec(a)vec(b)vec(c)]),vec(q)=(vec(c)xxvec(a))/([vec(a)vec(b)vec(c)]),vec(r)=(vec(a)xxvec(b))/([vec(a)vec(b)vec(c)])" Then the value of "(vec(a)+vec(b))*vec(p)+(vec(b)+vec(c))*vec(q)+(vec(c)+vec(a))*vec(r)=

If vec(a),vec(b),vec(c) are the non-coplanar vectors, then (vec(a).vec(b)xxvec(c))/(vec(c)xxvec(a).vec(b))+(vec(b).vec(a)xxvec(c))/(vec(c).vec(a)xxvec(b))= ……………

If vec(a)*vec(b)=vec(b)*vec(c),vec(a)=0, then the value of [vec(a),vec(b),vec(c)] is

If vec(A) + vec(B) +vec(C)=0, "then" vec(A) xx vec(B) is :

Let vec u a n d vec v be unit vectors such that vec uxx vec v+ vec u= vec w and vec wxx vec u= vec vdot Find the value of [ vec u vec v vec w]dot

For any three vectors vec(a),vec(b)andvec(c),(vec(a)+vec(b)).(vec(b)+vec(c))xx(vec(c)+vec(a)) is

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