For the vectors (vec{A}=3.0 hat{imath}+2.0 hat{jmath}) and (vec{B}=-2.0 hat{imath}+2.0 hat{jmath}), determine ((a) vec{A}+vec{B}) and ((b)) the magnitude
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For the vectors \(\vec{A}=3.0 \hat{\imath}+2.0 \hat{\jmath}\) and \(\vec{B}=-2.0 \hat{\imath}+2.0 \hat{\jmath}\), determine \((a) \vec{A}+\vec{B}\) and \((b)\) the magnitude of \(|\vec{A}+\vec{B}|\).
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