Show that $(\vec a - \vec b) \times (\vec a + \vec b) = 2(\vec a \times \vec b)$
Show that $(\vec a - \vec b) \times (\vec a + \vec b) = 2(\vec a \times \vec b)$
Official Solution
VVidaara Team
✓ Verified solution
NCERT & Exemplar
$(\vec a - \vec b) \times (\vec a + \vec b)$
$= \vec a \times \vec a + \vec a \times \vec b - \vec b \times \vec a - \vec b \times \vec b = \vec a \times \vec b + \vec a \times \vec b = 2(\vec a \times \vec b)$
[ and $\vec b \times \vec a = - \vec a \times \vec b$]
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