(Solved): Find the scalar and vector projections of \( \mathbf{b} \) onto \( \mathbf{a} \). \[ \mathbf{a}=8 \ ...

Find the scalar and vector projections of \( \mathbf{b} \) onto \( \mathbf{a} \). \[ \mathbf{a}=8 \mathbf{i}-8 \mathbf{j}+\mathbf{k}, \quad \mathbf{b}=7 \mathbf{i}+9 \mathbf{j}-\mathbf{k} \] scalar projection of \( \mathbf{b} \) onto \( \mathbf{a} \) vector projection of \( \mathbf{b} \) onto \( \mathbf{a} \)