If \( \vec{a} \) and \( \vec{b} \) are two unit vectors such that \...

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If \( \vec{a} \) and \( \vec{b} \) are two unit vectors such that \( \vec{a}+2 \vec{b} \)
\( \mathrm{P} \) and \( 5 \vec{a}-4 \vec{b} \) are perpendicular to each other then

W the angle between \( \vec{a} \) and \( \vec{b} \) is
\( -(1) 45^{\circ} \)
(2) \( 60^{\circ} \)
(3) \( \cos ^{-1}\left(\frac{1}{3}\right) \)
(4) \( \cos ^{-1}\left(\frac{2}{7}\right) \)
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