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(\(\vec{a}\) - \(\vec{b}\)) ×(\(\vec{a}\)+\(\vec{b}\)) is equal to- |
(\(\vec{a}\) × \(\vec{b}\)) - (\(\vec{a}\) × \(\vec{b}\)) -2 (\(\vec{a}\) × \(\vec{b}\)) 2 (\(\vec{a}\) × \(\vec{b}\)) |
2 (\(\vec{a}\) × \(\vec{b}\)) |
(\(\vec{a}\) - \(\vec{b}\)) × (\(\vec{a}\) + \(\vec{b}\)) = (\(\vec{a}\) - \(\vec{b}\)) × \(\vec{a}\) + (\(\vec{a}\) - \(\vec{b}\)) × \(\vec{b}\) = (\(\vec{a}\) × \(\vec{a}\)) -(\(\vec{b}\) × \(\vec{a}\)) + (\(\vec{a}\)×\(\vec{b}\))- (\(\vec{b}\) × \(\vec{b}\) ) = \(\vec{0}\)+ (\(\vec{a}\)× \(\vec{b}\)) + (\(\vec{a}\) ×\(\vec{b}\) )- \(\vec{0}\) = 2 (\(\vec{a}\)× \(\vec{b}\))
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