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Condition under which vectors (a + b) and (a $-$ b) are parallel is

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$a ⊥ b$

$|a| = |b|$

$a \neq b$

a is parallel to b

answer is D.

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Detailed Solution

Their cross product should be zero.

$(a + b) \times (a - b) = 0$

$∴ 2 (a \times b) = 0$

So, a is parallel to b.

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