The vector equation of the line of intersection of the planes \[\vec{r}=\vec{b}+{{\lambda }_{1}}(\vec{b}-\vec{a})+{{\mu }_{1}}(\vec{a}-\vec{c})\] and \[\vec{r}=\vec{b}+{{\lambda }_{2}}(\vec{b}-\vec{c})+{{\mu }_{2}}(\vec{a}+\vec{c})\vec{a},\vec{b},\vec{c}\] being non-coplanar vectors, is

\[\vec{r}=\vec{b}+{{\lambda }_{1}}(\vec{a}-\vec{c})\]

\[\vec{r}=\vec{b}+{{\mu }_{1}}(\vec{a}+\vec{c})\]

\[\vec{r}=2\vec{b}+{{\lambda }_{2}}(\vec{a}-\vec{c})\]

The vector equation of the line of intersection of the planes \[\vec{r

1.	The vector equation of the line of intersection of the planes \[\vec{r}=\vec{b}+{{\lambda }_{1}}(\vec{b}-\vec{a})+{{\mu }_{1}}(\vec{a}-\vec{c})\] and \[\vec{r}=\vec{b}+{{\lambda }_{2}}(\vec{b}-\vec{c})+{{\mu }_{2}}(\vec{a}+\vec{c})\vec{a},\vec{b},\vec{c}\] being non-coplanar vectors, is
A.	\[\vec{r}=\vec{b}+{{\mu }_{1}}(\vec{a}+\vec{c})\]
B.	\[\vec{r}=\vec{b}+{{\lambda }_{1}}(\vec{a}-\vec{c})\]
C.	\[\vec{r}=2\vec{b}+{{\lambda }_{2}}(\vec{a}-\vec{c})\]
D.	None of these
Answer» B. \[\vec{r}=\vec{b}+{{\lambda }_{1}}(\vec{a}-\vec{c})\]

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The vector equation of the line of intersection of the planes \[\vec{r}=\vec{b}+{{\lambda }_{1}}(\vec{b}-\vec{a})+{{\mu }_{1}}(\vec{a}-\vec{c})\] and \[\vec{r}=\vec{b}+{{\lambda }_{2}}(\vec{b}-\vec{c})+{{\mu }_{2}}(\vec{a}+\vec{c})\vec{a},\vec{b},\vec{c}\] being non-coplanar vectors, is

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