If ` vec a , vec b ,a n d vec c` are mutually perpendicular vectors of equal magnitudes, then find the angle between vectors ` vec aa n d vec a+ vec b+ vec cdot`

If vec a,vec b,vec c are mutually perpenedicular vectors of equal magnitudes,show that the vector vec a+vec b+vec c is equally inclined to vec a,vec b,vec c

If vec a,vec b,vec c are mutually perpendicular vectors of equal magnitude,show the vectors vec a+vec b+vec c is equally inclined to vec a,vec b and 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 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 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 unit vectors find the angle between vec a+vec b and vec a-vec b

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 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)

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)