The length of the perpendicular from the origin to the plane passing through the point a and containing the line \[\mathbf{r}=\mathbf{b}+\lambda \mathbf{c}\] is

\[\frac{[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{|\mathbf{c}\times \mathbf{a}+\mathbf{a}\times \mathbf{b}|}\]

\[\frac{[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{|\mathbf{a}\times \mathbf{b}+\mathbf{b}\times \mathbf{c}+\mathbf{c}\times \mathbf{a}|}\]

\[\frac{\,[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{|\mathbf{a}\times \mathbf{b}+\mathbf{b}\times \mathbf{c}|}\]

\[\frac{[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{|\mathbf{b}\times \mathbf{c}+\mathbf{c}\times \mathbf{a}|}\]

The length of the perpendicular from the origin to the plane passing t

1.	The length of the perpendicular from the origin to the plane passing through the point a and containing the line \[\mathbf{r}=\mathbf{b}+\lambda \mathbf{c}\] is
A.	\[\frac{[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{\|\mathbf{a}\times \mathbf{b}+\mathbf{b}\times \mathbf{c}+\mathbf{c}\times \mathbf{a}\|}\]
B.	\[\frac{\,[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{\|\mathbf{a}\times \mathbf{b}+\mathbf{b}\times \mathbf{c}\|}\]
C.	\[\frac{[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{\|\mathbf{b}\times \mathbf{c}+\mathbf{c}\times \mathbf{a}\|}\]
D.	\[\frac{[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{\|\mathbf{c}\times \mathbf{a}+\mathbf{a}\times \mathbf{b}\|}\]
Answer» D. \[\frac{[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{\|\mathbf{c}\times \mathbf{a}+\mathbf{a}\times \mathbf{b}\|}\]

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The length of the perpendicular from the origin to the plane passing through the point a and containing the line \[\mathbf{r}=\mathbf{b}+\lambda \mathbf{c}\] is

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