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3-1-and-1-3-vector-find-




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

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