If `vec A= 3i+2j+2k`,`vec B=i-j+2k`, find `A.B`

If vec a=hat i-hat j and vec b=-hat j+2hat k, find (vec a-2vec b)*(vec a+vec b)

Let vec a = 2i + j + k, vec b = i + 2j + k and vec c = 2i-3j + 4k, A vector vec r satisfying vec r xxvec b = vec c xxvec b and vec r * vec a = 0 , is

vec a = i + j + k, vec b = i-j + k, vec c = 2i + 3j-k then (vec aXvec b) Xvec c =

If vec a = i + j + k & vec b = i-2j + k, then the vector vec c such that vec a * vec c = 2 & vec a xxvec c = vec b is

If vec r = 3vec i + 2vec j-5vec kvec a = 2vec i-vec j + vec k, vec b = vec i + 3vec j-2vec k and vec c = -2vec i + vec j-3vec k such that vec r = lambdavec a + muvec b + deltavec c then mu, (lambda) / (2), delta are in? (A) AP (B) GP (C) HP (D) AGP

if vec a=2i+2j+3k,vec b=-i+2j+k and vcec=3i+j are such that vec a+lambdavec b is perpendicular vec c then find the value of lambda

If vec a=2hat i+2hat j-3hat k,vec b=hat i-2hat j+2hat k,vec c=4hat i+3hat j+3hat k then find the value of |vec a+2vec b+2vec c|

If vec a=i+2j+k,vec b=2i+j and vec c=3i-4j-5k, then find a unit vector perpendicular to both of the vectors (vec a-vec b) and (vec c-vec b)

If quad vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k find |3vec a-2vec b+4vec c|

If vec A=hat I + 2 hat j -3 hat k , vec B =2 hat I -hat j + hat k and vec Chat I -3 hat j + 2 hat k , then find vec A xx ( vec B xx vec C).