Answer
Please see the work below.
Work Step by Step
We know that
$cos(\theta)=\frac{A.B}{|A||B|}$
$cos(\theta)=\frac{(\frac{1}{3})|A|^2}{|A||A|}=\frac{1}{3}$
Now we can find the angle as
$\theta=cos^{-1}(\frac{1}{3})=71^{\circ}$
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