(Solved): For the vectors \( u=\langle 3,1\rangle \) and \( v=\langle 3,1\rangle \), express \( u \) as the s ...

For the vectors \( u=\langle 3,1\rangle \) and \( v=\langle 3,1\rangle \), express \( u \) as the sum \( u=p+n \), where \( p \) is parallel to \( v \) and \( n \) is orthogonal to \( v \). \[ \mathbf{u}=\mathbf{p}+\mathbf{n}=\langle \] (Type integers or simplified fractions. List the terms in the same order as they appear in the original list.)