For the system of Figure SP8.42, calculate ((mathbf{x}, mathbf{y})_{K}) for (mathbf{x}=left[begin{array}{lll}3 & 2 & -1end{array} ight]^{T}) and

For the system of Figure SP8.42, calculate \((\mathbf{x}, \mathbf{y})_{K}\) for \(\mathbf{x}=\left[\begin{array}{lll}3 & 2 & -1\end{array}\right]^{T}\) and \(\mathbf{y}=\left[\begin{array}{lll}1 & -2 & 3\end{array}\right]^{T}\).

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5000 N/m 3000 N/m 1000 N/m 3 kg 2 kg 1 kg FIGURE SP 8.42