Write a unit vector in the direction of the sum of the vectors

Question:

Write a unit vector in the direction of the sum of the vectors $\overrightarrow{\mathrm{a}}=(2 \hat{\mathrm{i}}+2 \hat{\mathrm{j}}-5 \hat{\mathrm{k}})$ and $\overrightarrow{\mathrm{b}}=(2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-7 \hat{\mathrm{k}})$

Solution:

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