Let a = 2i + j - 2k, b = i + j. If c is a vector such that a.c = |c|; |c - a| = 2√2 and the angle between a x b and c is 30°;

Question

Let \(\vec a = 2\hat i + \hat j - 2\hat k, b = \hat i + \hat j\). If \(\vec c\) is a vector such that \(\vec a.\vec c = |\vec c|;|\vec c - \vec a| = 2 \sqrt 2\), and the angle between \(\vec a \times \vec b\) and \(\vec c\) is 30°; then \(|(\vec a \times \vec b)| \times \vec c \) = 

(a) 2/3

(b) 3/2

(c) 2

(d) 3

Answer 1

Correct option is (b) 3/2