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

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 ,\ a n d\ vec cdot also find the angle.

If vec a\ a n d\ vec b\ a n d\ vec c are mutually perpendicular unit vectors, write the value of | vec a+ vec b+ vec c|dot

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

If vec a , vec b ,\ vec c are three non coplanar mutually perpendicular unit vectors then [ vec a\ vec b\ vec c] is +-1 b. "\ "0"\ " c. -1 d. 2

If vec a\ a n d\ vec b are mutually perpendicular unit vectors, write the value of | vec a+ vec b|dot

If vec a ,\ vec b ,\ vec c are any time mutually perpendicular vectors of equal magnitude a , then | vec a+ vec b+ vec c| is equal to a b. sqrt(2)a c. sqrt(3)a d. 2a e. none of these

If vec a , vec b , and vec c are three mutually orthogonal unit vectors, then the triple product [ vec a+ vec b+ vec c vec a+ vec b vec b+ vec c] equals: (a.) 0 (b.) 1 or -1 (c.) 1 (d.) 3

If vec a , vec ba n d vec c are three mutually perpendicular vectors, then the vector which is equally inclined to these vectors is a. vec a+ vec b+ vec c b. vec a/(| vec a|)+ vec b/(| vec b|)+ vec c/(| vec c|) c. vec a/(| vec a|^2)+ vec b/(| vec b|^2)+ vec c/(| vec c|^2) d. | vec a| vec a-| vec b| vec b+| vec c| vec c

Let vec a , vec ba n d 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 , vec b ,a n d vec c are three non-coplanar non-zero vecrtors, then prove that ( vec a . vec a) vec bxx vec c+( vec a . vec b) vec cxx vec a+( vec a . vec c) vec axx vec b=[ vec b vec c vec a] vec a