Find the projection of \(\mathbf{a}\) onto \(\mathbf{b} = \begin{pmatrix} 2 \\ 6 \\ 3 \end{pmatrix}\) if \(\mathbf{a} \cdot \mathbf{b} = 8.\)
From the projection formula, the projection is [1/2, 3/16, 5/8].
