If `vec(O)A = i + + k, vec(A)B = 3i - 2j + k, vec(B)C = i + 2j - 2k, vec(C)D = 2i + j + 3k` then the position vector of D is

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

For vectors vec(A) = (2i + 3j - 2k), vec(B) = (5i + nj + k) and vec(C ) = (-I + 2j + 3k) to be coplanar, the value of n 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)= vec(i) + vec(j) + vec(k), vec(b)= -vec(i) + 2vec(j) + vec(k), vec(c )= vec(i) + 2vec(j) -vec(k) then a unit vector perpendicular to vec(a) + vec(b) and vec(b) + vec(c ) is

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

If vec a = 3i -2j + 2k, vec b = 6i-4j-2k and vec c = 3i-2j -4k , then vec a . (vec b xx vec c) is

If vec(a)= -vec(i) + vec(j) + vec(k), vec(b)= vec(i)-vec(j) + vec(k), vec(c )= vec(i) + vec(j)-vec(k) , then the vectors vec(a) xx vec(b), vec(b) xx vec(c ), vec(c ) xx vec(a) are