Let →a=2^i+^j−2^k and →b=^i+^j. If →c is a vector such that →a.→c=|→c|, |→c−→a|=2√2 and the angle between (→a×→b) and →c is 30∘ ,then |(→a×→b)×→c| is equal to

Let →a=2^i+^j−2^k and →b=^i+^j. If →c is a vector such that �

1.	Let →a=2^i+^j−2^k and →b=^i+^j. If →c is a vector such that →a.→c=\|→c\|, \|→c−→a\|=2√2 and the angle between (→a×→b) and →c is 30∘ ,then \|(→a×→b)×→c\| is equal to
Answer» Let $\to a = 2^i +^j - 2^k a n d \to b =^i +^j .$ If $\to c$ is a vector such that $\to a . \to c = \| \to c \|, \| \to c - \to a \| = 2 \sqrt{2}$ and the angle between $(\to a \times \to b) a n d \to c i s 30^{\circ}, t h e n \| (\to a \times \to b) \times \to c \|$ is equal to