Find the value of \( \lambda \) so that the points \( P, Q, R \) an... VIDEO
Find the value of \( \lambda \) so that the points \( P, Q, R \) and \( S \) on the sides \( O A, O B, O C \) and \( A B \), respectively, of
\( \mathrm{P} \) a regular tetrahedron \( O A B C \) are coplanar. It is given that \( \frac{O P}{O A}=\frac{1}{3}, \frac{O Q}{O B}=\frac{1}{2}, \frac{O R}{O C}=\frac{1}{3} \) and \( \frac{O S}{A B}=\lambda \).
(1) \( \lambda=\frac{1}{2} \)
(2) \( \lambda=-1 \)
(3) \( \lambda=0 \)
(4) for no value of \( \lambda \)
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