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If and , find

Solution:

\begin{array}{l} \vec{a}=\hat{\imath}-2 \hat{\jmath} \\ \vec{b}=2 \hat{\imath}-3 \hat{\jmath} \\ \vec{c}=2 \hat{\imath}+3 \hat{k} \\ \vec{a}+\vec{b}+\vec{c}=(\hat{\imath}-2 \hat{\jmath})+(2 \hat{\imath}-3 \hat{\jmath})+(2 \hat{\imath}+3 \hat{k}) \end{array}