For three noncoplanar vectors \( \vec{a}, \vec{b}, \vec{c} \) the r...
For three noncoplanar vectors \( \vec{a}, \vec{b}, \vec{c} \) the relation hold
\( \mathrm{P} \)
\[
|\vec{a} \times \vec{b} \cdot \vec{c}|=|\vec{a}||\vec{b}||\vec{c}|
\]
W
holds if and only if
(a) \( \vec{b} \cdot \vec{c}=\vec{c} \cdot \vec{a}=0 \)
(b) \( \vec{a} \cdot \vec{b}=\vec{b} \cdot \vec{c}=0 \)
(c) \( \vec{a} \cdot \vec{b}=\vec{b} \cdot \vec{c}=\vec{c} \cdot \vec{a}=0 \)
(d) \( \vec{c} \cdot \vec{a}=\vec{a} \cdot \vec{b}=0 \)
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