Find the value of \[\lambda \] so that the points P, Q, R and S on the sides OA, OB, OC and AB, respectively, of a regular tetrahedron OABC are coplanar. It is given that \[\frac{OP}{OA}=\frac{1}{3},\frac{OQ}{OB}=\frac{1}{2},\frac{QR}{OC}=\frac{1}{3}\] and\[\frac{OS}{AB}=\lambda \].

Find the value of \[\lambda \] so that the points P, Q, R and S on the

1.	Find the value of \[\lambda \] so that the points P, Q, R and S on the sides OA, OB, OC and AB, respectively, of a regular tetrahedron OABC are coplanar. It is given that \[\frac{OP}{OA}=\frac{1}{3},\frac{OQ}{OB}=\frac{1}{2},\frac{QR}{OC}=\frac{1}{3}\] and\[\frac{OS}{AB}=\lambda \].
A.	\[\lambda =\frac{1}{2}\]
B.	\[\lambda =-1\]
C.	\[\lambda =0\]
D.	for no value of \[\lambda \]
Answer» C. \[\lambda =0\]

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Find the value of \[\lambda \] so that the points P, Q, R and S on the sides OA, OB, OC and AB, respectively, of a regular tetrahedron OABC are coplanar. It is given that \[\frac{OP}{OA}=\frac{1}{3},\frac{OQ}{OB}=\frac{1}{2},\frac{QR}{OC}=\frac{1}{3}\] and\[\frac{OS}{AB}=\lambda \].

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