Question Number 205820 by mustafazaheen last updated on 31/Mar/24
$$\begin{pmatrix}{\sqrt{\mathrm{3}}}\\{\mathrm{1}}\end{pmatrix}\:\:\mathrm{and}\:\:\begin{pmatrix}{\mathrm{1}}\\{\sqrt{\mathrm{3}}}\end{pmatrix}\:\:\:\mathrm{vector}\:\mathrm{find}\:\theta=? \\ $$
Answered by mr W last updated on 31/Mar/24
$$\mathrm{cos}\:\theta=\frac{\sqrt{\mathrm{3}}×\mathrm{1}+\mathrm{1}×\sqrt{\mathrm{3}}}{\:\mathrm{2}×\mathrm{2}}=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$$$\Rightarrow\theta=\mathrm{30}° \\ $$