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Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}$, such that $a \cdot(b \times c)=0$. Then

A. $a, b$ and $c$ are colinear

B. $a, b$ and $c$ lie on the coordinate axes

C. $a, b$ and $c$ lie on the same plane

D. at least one of the three vectors is the zero vector

E. at least two of the three vectors are equal
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