If a is a unit vector then a×a×(a×b)=

a×a×(a×b) a×(a·b)a-|a|2 b =0-|a|2 (a×b)given |a|=1 ⇒ -(a×b)=b×a

a×a×(a×b) a×(a·b)a-|a|2 b =0-|a|2 (a×b)given |a|=1 ⇒ -(a×b)=b×a

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If $a$ is a unit vector then $a \times \{a \times (a \times b)\} =$

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$2 (a \times b)$

$b \times a$

$2 (b \times a)$

$a \times b$

answer is B.

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CBSE

$\begin{array}{rcl} a \times \{a \times (a \times b)\} \\ a \times \{(a \cdot b) a - | a |^{2} b\} \\ = & 0 - | a |^{2} (a \times b) \end{array}$

given $| a | = 1 \Rightarrow - (a \times b) = b \times a$

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