Find the angle between

Question:

Find the angle between $\overrightarrow{\mathrm{a}}$ and $\overrightarrow{\mathrm{b}}$, when

i. $|\overrightarrow{\mathrm{a}}|=2,|\overrightarrow{\mathrm{b}}|=1$ and $\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}}=\sqrt{3}$

ii. $|\overrightarrow{\mathrm{a}}|=|\overrightarrow{\mathrm{b}}|=\sqrt{2}$ and $\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}}=-1$

Solution:

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