If `alpha(vec a xx vec b)+beta(vec b xx vec c)+gamma(vec c xx vec a)=0` and at least of the numbers `alpha, beta` and `gamma` is non-zero, then the vectors `vec a, vec b and vec c` are

If a(vec alpha xxvec beta)+b(vec beta xxvec gamma)+c(vec gamma xxvec alpha)=0 and at least one of a,b and c is nonzero,then vectors vec alpha,vec beta and vec gamma are a.parallel b.coplanar c.mutually perpendicular d.none of these

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+vec b+vec c=0 , prove that (vec a xx vec b)=(vec b xx vec c)=(vec c xx vec a)

If vec a + vec b + vec c = 0, prove that (vec a xx vec b) = (vec b xx vec c) = (vec c xx vec a)

If (vec a xx vec b) xx vec c = vec a xx (vec b xx vec c) , where vec a, vec b and vec c are any three vectors such that vec a. vec b ne 0, vec b . vec c ne 0 , then vec a and vec c are

If any vector vec a xx (vec b xx vec c) + vec b xx (vec c xx vec a) + vec c xx (vec a xx vec b) =

The vectors vec a xx (vec b xxvec c), vec b xx (vec c xxvec a) and vec c xx (vec a xxvec b) are

[( vec axx vec b)xx( vec bxx vec c)( vec bxx vec c)xx( vec cxx vec a)( vec cxx vec a)xx( vec axx vec b)] is equal to (where vec a , vec ba n d vec c are nonzero non-coplanar vector) [ vec a vec b vec c]^2 b. [ vec a vec b vec c]^3 c. [ vec a vec b vec c]^4 d. [ vec a vec b vec c]

[( vec axx vec b)xx( vec bxx vec c)( vec bxx vec c)xx( vec cxx vec a)( vec cxx vec a)xx( vec axx vec b)] is equal to (where vec a , vec ba n d vec c are nonzero non-coplanar vector) [ vec a vec b vec c]^2 b. [ vec a vec b vec c]^3 c. [ vec a vec b vec c]^4 d. [ vec a vec b vec c]