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JEE Advance - Mathematics (2003 - No. 2)

The value of $$'a'$$ so that the volume of parallelopiped formed by $$\widehat i + a\widehat j + \widehat k,\widehat j + a\widehat k$$ and $$a\widehat i + \widehat k$$ becomes minimum is
$$-3$$
$$3$$
$$1/\sqrt 3 $$
$$\sqrt 3 $$

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