a, b, c are non-zero unit vector inclined pairwise
\( \mathrm{P} \) with the same angle \( \theta, \mathrm{p}, \mathrm{q}, \mathrm{r} \) are non-zero scalars
W satisfying \( \mathrm{a} \times \mathrm{b}+\mathrm{b} \times \mathrm{c}=\mathrm{pa}+\mathrm{qb}+\mathrm{rc} \). Now, answer the following questions.
Volume of parallelopiped with edges \( \mathrm{a}, \mathrm{b} \) and \( \mathrm{c} \) is equal to
(1) \( p+(q+r) \cos \theta \)
(2) \( (p+q+r) \cos \theta \)
(3) \( 2 \mathrm{p}-(\mathrm{r}+\mathrm{q}) \cos \theta \)
(4) None of these
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