If `veca = i + j + k` and `vecb = j - k` then find vector `c`, such that `a xx c = b` and `a.c =3`

If vec(a) = hat(i) + hat(j) + hat(k) and vec(b) = hat(j) - hat(k) , find a vector vec(c ) , such that vec(a) xx vec(c ) = vec(b) and vec(a).vec(c ) = 3 .

Let veca = 2i + j + k, and b = i+ j if c is a vector such that veca .vecc = |vecc|, |vecc -veca| = 2sqrt2 and the angle between veca xx vecb and vec is 30^(@) , then |(veca xx vecb)|xx vecc| is equal to

If vec(a)= vec(i) + vec(j)+ vec(k), vec(c )= vec(j)- vec(k) , then find vector vec(b) such that vec(a) xx vec(b)= vec(c ) and vec(a).vec(b)= 3

Let a = 2i + j - 2k and b = I + j. If c is vector such that ac = |c|, |c - a| = 2 sqrt(2) and the angle between a xx b and c is 30^(@) , then |(a xx b) xx c| =

If a = i + j, b = j + k and c = i + k then a unit vector in the direction of a - 2b + 3c is

Let veca = 2i + j -2k, and b = i+ j if c is a vector such that veca .vecc = |vecc|, |vecc -veca| = 2sqrt2 and the angle between veca xx vecb and vecc is 30^(@) , then |(veca xx vecb)xx vecc| is equal to

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