If u- v and w are three non-coplanar vectors- then u - v - w- u - v - v - w equals

The correct option is B u . (v×w) Using the distributive law, together with the identities [ ...

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Linear Combination of Vectors

If u, v and...

Question

If $\to u, \to v$ and $\to w$ are three non-coplanar vectors, then $(\to u + \to v - \to w) . (\to u - \to v) \times (\to v - \to w)$ equals

\to u . (\to v \times \to w)

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0

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2 \to u . (\to v \times \to w)

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\to u . (\to w \times \to v)

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Solution

Suggest Corrections

\to u, \to v, \to w

(\to u + \to v - \to w) \cdot [(\to u - \to v) \times (\to v - \to w)]

\to u, \to v, \to w

[\to u + \to v - \to w \to u - \to v \to v - \to w]

\to u, \to v, \to w

p, q

[3 \to u, p \to v, p \to w] - [p \to v, \to w, q \to u] - [2 \to w, q \to v, q \to u] = 0

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