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

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

vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c=0. then find the value of vec a. vec b+ vec b.vec c+ 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 ,\ a n d\ vec cdot also find the angle.

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 unit vectors, such that vec a+ vec b+ vec c= vec x , vec adot vec x=1, vec bdot vec x=3/2,| vec x|=2. Then find the angel between c and x dot

Let vec a , vec b , vec c be three vectors such that | vec a|=1,| vec b|=2a n d| vec c|=3. If the projection of vec b along a is equal to the projection of vec c along vec aa n d vec b , vec c are perpendicular to each other, find |3 vec a-2 vec b+2 vec c|dot

vec a , vec b , vec c are three vectors such that |vec a | = 5 | vec b | =8, |vec c | = 3 if vec a + vec b + vec c = 8 hati+ 6hatj , find the value of vec a , vec b +vec b .vec c + vec c .vec a

Let vec a , vec ba n d vec c be three verctors such that vec a!=0,| vec a|=| vec c|=1,| vec b|=4 and | vec bxx vec c|=sqrt(15)dot If vec b-2 vec c=lambda vec a , then find the value of lambda