Let `a= hat(i) - hat(j) , b=hat(i) + hat(j) + hat(k)` and c be a vector such that `axx c + b=0 " and " a. c =4, ` then `|c|^(2)` is equal to

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

Let a= 2hat(i) +hat(j) -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

Let a= 2hat(i)+ hat(j) -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

Let a= 2hat(i)+ hat(j) -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