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No such vector \(\mathbf{v}\) satisfies the equation because the cross product \(\mathbf{v} imes \mathbf{a}\) must be orthogonal to \(\mathbf{a}\), but \(egin{pmatrix} 0 \ 0 \ 5 \end{pmatrix} \cdot egin{pmatrix} 1 \ 2 \ 3 \end{pmatrix} = 15
Thus, the equation has **no solution**.
Wait รขย€ย” unless the problem allows for solving **in the affine sense**? No รขย€ย” in vector algebra, the equation has no solution.

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