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Q.

$\sum {[(a \times i) \times j]}^{2} =$

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a

$a^{2}$

b

$2 a^{2}$

c

$3 a^{2}$

d

$4 a^{2}$

answer is A.

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Detailed Solution

$\sum {[(a \cdot j) i - 0]}^{2} = {(a \cdot j)}^{2} + {(a \cdot k)}^{2} + {(a \cdot i)}^{2}$

Let $a = xi + yj + zk$

$= y^{2} + z^{2} + x^{2} = | a |^{2}$

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