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

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 and vec b are mutually perpendicular unit vectors,write the value 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,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 =

If vec a,vec b,vec c are three mutually perpendicular vectors of equal magniltgude,prove that vec a+vec b+vec c is equally inclined with vectors vec a,vec b, and vec r also find the angle.

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 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 and vec c are there mutually perpendicular unit vectors and vec a ia a unit vector make equal angles which vec a,vec b and vec c then find the value of |vec a+vec b+vec c+vec d|^(2)

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)