\( \vec{a} \) and \( \vec{c} \) are unit vectors and \( |\vec{b}|=4...

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\( \vec{a} \) and \( \vec{c} \) are unit vectors and \( |\vec{b}|=4 \). The angle
P
W between \( \vec{a} \) and \( \vec{c} \) is \( \cos ^{-1}\left(\frac{1}{4}\right) \). If \( \vec{b}-2 \vec{c}=\lambda \vec{a} \), then \( \lambda \) is equal to
(1) 3,4
(2) \( -3,4 \)
(3) \( 3,-4 \)
(4) \( \frac{1}{4}, \frac{3}{4} \)
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