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In Exercises 5-10, let \[ \mathbf{u}=\left[\begin{array}{l} 1 \\ 5 \end{array}\right] \quad \mathbf{v}=\left[\begin{array}{l} 2 \\ 1 \end{array}\right] \] 5. Find \( \|\mathbf{u}\| \). 6. Find the distance between \( \mathbf{u} \) and \( \mathbf{v} \). 7. Find a unit vector in the direction of \( \mathbf{u} \). 8. Find the cosine of the angle between the two vectors. Are the vectors orthogonal? Explain. 9. Find a vector in the direction of \( \mathbf{v} \) with length 10 .

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