Consider the following. \[ \mathbf{u}=\langle 7,-4\rangle, \mathbf{v}=\langle 2,1\rangle \] (a) Calculate proj \( \mathbf{v} \mathbf{u} \). \( \operatorname{proj}_{\mathbf{v}} \mathbf{u}=\square \) \( \mathbf{u}_{1}=\square \) (b) Resolve \( \mathbf{u} \) into \( \mathbf{u}_{1} \) and \( \mathbf{u}_{2} \), where \( \mathbf{u}_{1} \) is parallel to \( \mathbf{v} \) and \( \mathbf{u}_{2} \) is orthogonal to \( \mathbf{v} \). \( \mathbf{u}_{2}=\square \)

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