\[\mathbf{p}=2\mathbf{a}-3\mathbf{b},\,\,\,\mathbf{q}=\mathbf{a}-2\mathbf{b}+\mathbf{c},\,\,\mathbf{r}=-3\mathbf{a}+\mathbf{b}+2\mathbf{c};\] where a, b and c being non-zero, non-coplanar vectors, then the vector \[-2\mathbf{a}+3\mathbf{b}-\mathbf{c}\] is equal to

\[2\mathbf{p}-3\mathbf{q}+\mathbf{r}\]

\[\frac{-7\mathbf{q}+\mathbf{r}}{5}\]

\[\mathbf{p}=2\mathbf{a}-3\mathbf{b},\,\,\,\mathbf{q}=\mathbf{a}-2\mat

1.	\[\mathbf{p}=2\mathbf{a}-3\mathbf{b},\,\,\,\mathbf{q}=\mathbf{a}-2\mathbf{b}+\mathbf{c},\,\,\mathbf{r}=-3\mathbf{a}+\mathbf{b}+2\mathbf{c};\] where a, b and c being non-zero, non-coplanar vectors, then the vector \[-2\mathbf{a}+3\mathbf{b}-\mathbf{c}\] is equal to
A.	\[\mathbf{p}-4\mathbf{q}\]
B.	\[\frac{-7\mathbf{q}+\mathbf{r}}{5}\]
C.	\[2\mathbf{p}-3\mathbf{q}+\mathbf{r}\]
D.	\[4\mathbf{p}-2\mathbf{r}\]
Answer» C. \[2\mathbf{p}-3\mathbf{q}+\mathbf{r}\]

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\[\mathbf{p}=2\mathbf{a}-3\mathbf{b},\,\,\,\mathbf{q}=\mathbf{a}-2\mathbf{b}+\mathbf{c},\,\,\mathbf{r}=-3\mathbf{a}+\mathbf{b}+2\mathbf{c};\] where a, b and c being non-zero, non-coplanar vectors, then the vector \[-2\mathbf{a}+3\mathbf{b}-\mathbf{c}\] is equal to

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