13. If \( \mathbf{x} \) and \( \mathbf{y} \) are unit vectors in \( \mathbf{R}^n \) and \( |\mathbf{x}^{\mathrm{T}}\mathbf{y}| = 1 \), then \( \mathbf{x} \) and \( \mathbf{y} \) are linearly independent.
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13. If \( \mathbf{x} \) and \( \mathbf{y} \) are unit vectors in \( \mathbf{R}^n \) and \( |\mathbf{x}^{\mathrm{T}}\mathbf{y}| = 1 \), then \( \mathbf{x} \) and \( \mathbf{y} \) are linearly independent.