Given the vectors P 5 2i 1 3j 1 4k, Q 5 2i 1 2j 2 2k, and S 5 23i 2 j 1 Szk, determine

Chapter 3, Problem 3.34

(choose chapter or problem)

Given the vectors \(\mathbf{P}=2 \mathbf{i}+3 \mathbf{j}+4 \mathbf{k}, \mathbf{Q}=-\mathbf{i}+2 \mathbf{j}-2 \mathbf{k}\), and \(\mathbf{S}=-3 \mathbf{i}-\mathbf{j}+S_z \mathbf{k}\), determine the value of \(S_z\) for which the three vectors are coplanar.

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