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Given the vectors \( \mathbf{v} \) and \( \mathbf{u} \), answer a. through \( \boldsymbol{d} \). below. \[ \mathbf{v}=10 \mathbf{i}+11 \mathbf{j}-2 \mathbf{k} \quad \mathbf{u}=5 \mathbf{i}+12 \mathbf{j} \] a. Find the dot product of \( v \) and \( u \). \[ u \cdot v= \] Find the length of \( v \). \( |v|=\quad \) (Simplify your answer. Type an exact answer, using radicals as needed.)

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