If `vec a, vec b and vec c` are mutually perpendicular, show that `[ vec a.(vec b xx vec c)]^2 = a^2 b^2c^2`

If vec a,vec b and vec c are mutually perpendicular, show that [vec a*(vec b xxvec c)]^(2)=a^(2)b^(2)c^(2)

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

Let vec a,vec b and vec c be pairwise mutually perpendicular vectors,such that |vec a|=1,|vec b|=2,|vec c|=2. Then find the length of vec 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 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 vectors, then find the value of vec A. vec (B + 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 = vec b * vec c = vec c * vec a = 0 or vec a, vec b, vec c are a right handed triad of mutually perpendicular vectors, then [vec avec bvec c] =

If vec a,vec b,vec c are three mutually perpendicular unit vectors,then prove that |vec a+vec b+vec c|=sqrt(3)