If `a=1+2j-3k,b=2i+j-k` and `u` is a vector satisfying `a times u=a times b` and `a .u=0` then `2|u|^(2)` is equal to

Let a=i+j+k, c=j-k and a vector b is such that a times b=c" and "a*b=3 . Then abs(b) equals:

Let vec u be a vector coplanar with the vectors vec a=2hat i+3hat j-hat k and vec b=hat j+hat k If vec u is perpendicular to vec a and vec u.vec b=24 then |vec u|^(2) is equal to

Let a=2i+2j+k and b be another vector such that a*b=14" and "a times b=3i+j-8k then the vector b is equal to

If u, v, w are unit vectors satisfying 2u+2v+2w=0," then "abs(u-v) equals