If `vec a` is equal to `2 i + j` and `vec b` is equal to `3 j - k` and `vec c` is equal to `6 i - 2 k ` value of `vec a - 2vec b + 3vec c` would be

If vec a = vec i + vec j + vec k, vec b = vec i - vec j + vec k and vec c = vec i + 2vec j - vec k, then the value of | [vec a.vec a, vec a.vec b, vec a.vec c], [vec b.vec a, vec b.vec b, vec b.vec c], [vec c.vec a, vec c.vec b, vec c.vec c ] | is equal to: (1) 2 (2) 4 (3) 16 (4) 64

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

If vec a=3hat i+hat j and vec b=hat i+2hat j+hat k and vec c satisfy the conditions vec a times vec c=vec b+lambda vec a and vec a*vec c=0 then lambda is equal to

vec a=2vec i+3vec j-vec k,vec b=-vec i+2vec j-4vec k and vec c=vec i+vec j+vec k then find thevalue of (vec a xxvec b)*(vec a xxvec c)

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 | = 2, | vec b | = 7 and vec a xxvec b = 3vec i + 2vec j + 6vec k then vec a * vec b =

Find the value of: (vec j xxvec k) * (3vec i + 2vec j-vec k)

If vec(A) = 2 I + j - k , vec(B) = I + 2 j + 3 k , and vec(C ) = 6 i - 2 j - 6 k ,then the angle between (vec(A) + vec(B)) and vec(C ) will be

Let vec a = vec i + vec j, vec b = vec j + vec kc = alphavec a + betavec b .If the vectors vec i-2vec j + vec k, 3vec i + 2vec j-vec k and vec c are coplanar then aplh (a) / (beta)

If the vector vec a= x vec i + y vec j + 2 vec k is perpendicular to the vector vec b = vec i - vec j + vec k and the scalar product of vec a and vec c= vec i + 2 vec j is equal to 4 then x= ________ and y=__________.