One of the diagonals of a parallelopiped is `4vec j-8vec k`, If the 2 diagonals of its face are `6vec i+6vec k` and `4vec j+2vec k` then volume is:

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

The sine of the angle between the vectors vec i+3vec j+2vec k and 2vec i-4vec j+vec k is

The volume of a parallelopiped whose adjacent sides are vec a = i+2j, vec b = j+2k , and vec c = 2i-k is

If the volume of a parallelopiped, whose three coterminous edges are -12 vec i + lambda vec k; 3 vec j - vec k and 2 vec i + vec j - 15 vec k , is 546 then lambda =_______.

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

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

A point on the line r=2vec i+3vec j+4vec k+t(vec i+vec j+vec k) is

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

Two diagonals of a parallelogram are vec(i) + 2vec(j) + 3vec(k) and -2vec(i) + vec(j) -2vec(k) . Then the area of the parallelogram is