Find the value of \(a\) such that the points with position vectors are co-planar. Vectors are:

\(3\vec i+6\vec j+9\vec k\)

\(1\vec i+2\vec j+3\vec k\)

\(2\vec i+3\vec j+\vec k\)

\(4\vec i+6\vec j+a\vec k\)

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