If \[\vec{r}\cdot \vec{a}=\vec{r}\cdot b=\vec{r}\cdot \vec{c}=\frac{1}{2}\] for some non-zero vector \[\vec{r}\], then the area of the triangle whose vertices are \[A(\vec{a}),B(\vec{b})\] and \[C\left( {\vec{c}} \right)\] is (\[\vec{a},\text{ }\vec{b},\text{ }\vec{c}\] are non-coplanar)

\[\left| [\vec{a}\,\vec{b}\,\vec{c}] \right|\]

\[\left| [\vec{a}\,\vec{b}\,\vec{c}]\vec{r} \right|\]

If \[\vec{r}\cdot \vec{a}=\vec{r}\cdot b=\vec{r}\cdot \vec{c}=\frac{

1.	If \[\vec{r}\cdot \vec{a}=\vec{r}\cdot b=\vec{r}\cdot \vec{c}=\frac{1}{2}\] for some non-zero vector \[\vec{r}\], then the area of the triangle whose vertices are \[A(\vec{a}),B(\vec{b})\] and \[C\left( {\vec{c}} \right)\] is (\[\vec{a},\text{ }\vec{b},\text{ }\vec{c}\] are non-coplanar)
A.	\[\left\| [\vec{a}\,\vec{b}\,\vec{c}] \right\|\]
B.	\[\left\| {\vec{r}} \right\|\]
C.	\[\left\| [\vec{a}\,\vec{b}\,\vec{c}]\vec{r} \right\|\]
D.	None of these
Answer» D. None of these

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If \[\vec{r}\cdot \vec{a}=\vec{r}\cdot b=\vec{r}\cdot \vec{c}=\frac{1}{2}\] for some non-zero vector \[\vec{r}\], then the area of the triangle whose vertices are \[A(\vec{a}),B(\vec{b})\] and \[C\left( {\vec{c}} \right)\] is (\[\vec{a},\text{ }\vec{b},\text{ }\vec{c}\] are non-coplanar)

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