Find the angle between the vectors

Question:

Find the angle between the vectors $\overrightarrow{r_{1}}=(3 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+\hat{\mathrm{k}})$ and $\overrightarrow{\mathrm{r}_{2}}=(4 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}+7 \hat{\mathrm{k}})$

Solution:

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