The length of the perpendicular from the origin to the plane passing through three non-collinear points \[\mathbf{a},\,\mathbf{b},\,\mathbf{c}\] is

\[\frac{2\,[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{|\mathbf{a}\times \mathbf{b}+\mathbf{b}\times \mathbf{c}+\mathbf{c}\times \mathbf{a}|}\]

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

\[[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]\]

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 three non-collinear points \[\mathbf{a},\,\mathbf{b},\,\mathbf{c}\] is
A.	\[\frac{[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{\|\mathbf{a}\times \mathbf{b}+\mathbf{c}\times \mathbf{a}+\mathbf{b}\times \mathbf{c}\|}\]
B.	\[\frac{2\,[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{\|\mathbf{a}\times \mathbf{b}+\mathbf{b}\times \mathbf{c}+\mathbf{c}\times \mathbf{a}\|}\]
C.	\[[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]\]
D.	None of these
Answer» B. \[\frac{2\,[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]}{\|\mathbf{a}\times \mathbf{b}+\mathbf{b}\times \mathbf{c}+\mathbf{c}\times \mathbf{a}\|}\]

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The length of the perpendicular from the origin to the plane passing through three non-collinear points \[\mathbf{a},\,\mathbf{b},\,\mathbf{c}\] is

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