If `vec a xx i + 2 vec a- 4 vec i - 2 vec j + veck=0` then `vec a=`

If vec a = 2vec i + 2vec j + vec kvec b = 5vec i + vec j + 2vec k then | vec a xxvec b | ^ (2) + (vec a * vec b) ^ (2) =

Find the unit vector in the direction of the vector vec a + vec b if vec a =vec i +2 vec j + 3 vec k and vec b = 2 vec i + 3 vec j + 5 vec k .

if vec b=2 vec i + 3 vec j - vec k and vec c= vec i + 4 vec j + 5 veck then find a vector vec a such that vec b * vec a =0 and vec c * vec a=0 . Also find the unit vector along vec a .

If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b =

(vec i + xvec j + 3vec k) xx (vec i-vec j + vec k) = 5vec i + xvec j-3vec k then x =

If vec a = i + 2j, vec b = j +2k, vec c = i+2k then vec a . (vec b xx vec c) =

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 vec(a) is a unit vector and vec(a) xx vec(i) = vec(j) , then vec(a).vec(i) =

If vec a = i+j+k, vec b = i+j, vec c = i and (vec a xx vec b) xx vec c = lambda vec a + mu vec b , then lambda + mu

Given vec a=x hat i+y hat j+2 hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j ; vec a_|_ vec b , vec adot vec c=4. Then [ vec a vec b vec c]^2=| vec a| b. [ vec a vec b vec c]^=| vec a| c. [ vec a vec b vec c]^=0 d. [ vec a vec b vec c]^=| vec a|^2