The volume of a right triangular prism \( A B C A_{1} B_{1} C_{1} \) is equal to 3 . If the posi...

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The volume of a right triangular prism \( A B C A_{1} B_{1} C_{1} \) is equal to 3 . If the position vectors of the vertices of the base \( A B C \) are \( A(1,0,1) ; B(2,0,0) \) and \( C(0,1,0) \), then the position vectors of the
\( \mathrm{P} \) vertex \( A_{1} \) can be :
(a) \( (2,2,2) \)
(b) \( (0,2,0) \)
(c) \( (0,-2,2) \)
(d) \( (0,-2,0) \)
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