If ` vec a , vec b ,a n d vec c` are mutually perpendicular vectors and ` vec a=alpha( vec axx vec b)+beta( vec bxx vec c)+gamma( vec cxx vec a)a n d[ vec a vec b vec c]=1,` then find the value of `alpha+beta+gammadot`

If vec a,vec b,vec c are mutually perpendicular unit vectors,find |2vec a+vec b+vec c|

If vec a and vec b and vec c are mutually perpendicular unit vectors,write the value of |vec a+vec b+vec c|

If vec A, vec B and vec C are mutually perpendicular vectors, then find the value of vec A. vec (B + vec C) .

If vec a, vec b, vec c are three mutually perpendicular vectors such that | vec a | = | vec b | = | vec c | then (vec a + vec b + vec c) * vec a =

If quad vec r = alpha (vec b xxvec c) + beta (vec c xxvec a) + gamma (vec a xxvec b) and [vec with bvec c] = 2 then alpha + beta + gamma

If vec a and vec b are mutually perpendicular unit vectors,write the value of |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 ) .

Statement 1: vec a , vec b ,a n d vec c are three mutually perpendicular unit vectors and vec d is a vector such that vec a , vec b , vec ca n d vec d are non-coplanar. If [ vec d vec b vec c]=[ vec d vec a vec b]=[ vec d vec c vec a]=1,t h e n vec d= vec a+ vec b+ vec c Statement 2: [ vec d vec b vec c]=[ vec d vec a vec b]=[ vec d vec c vec a] =>vec d is equally inclined to veca,vecb,vecc.

If vec a,vec b, and vec c are mutually perpendicular vectors of equal magnitudes,then find the angle between vectors vec a and vec a+vec b+vec c

If vec a,vec b, and vec c are there mutually perpendicular unit vectors and vec d is a unit vector which makes equal angles with vec a,vec b, and vec c, the find the value off |vec a+vec b+vec c+vec d|^(2)