[" Let "a=2i+j-2k" and "b=i+j." If "c" is a vector such that "],[a.c=|c|,|c-a|=2sqrt(2)" and the angle between "(a times b)" and "c" is "],[30^(@)," then the value of "|(a times b)times c|" equals: "]

Let A=2hati+hatj-2hatk and B= hati+hatj . If C is a vector such that A.C=|C|,|C-A|=2 sqrt2 and the angle between A times B and C is 30^@ , then the value of |(A times B) times C| is

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| =

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

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

Let vec a = 2i+j-2k and vec b = i+j . If vec c is a vector such that vec a . vec c = |vec c|, |vec c - vec a| = 2 sqrt2 and the angle between (vec a xx vec b ) and vec c is 30^(o) , then |(vec a xx vec b) xx vec c| =

Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors such that |c-a| =3, |(axxb)xx c|=3 and the angle between c and axx b" is "30^(@) . Then a. c is equal to