Find the sum of the vectors

Question:

Find the sum of the vectors  $\overrightarrow{\mathrm{a}}=(\hat{\mathrm{i}}-2 \hat{\mathrm{j}}), \overrightarrow{\mathrm{b}}=(2 \hat{\mathrm{i}}-3 \hat{\mathrm{j}})$ and $\overrightarrow{\mathrm{c}}=(2 \hat{\mathrm{i}}+3 \hat{\mathrm{k}})$ 

Solution:

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