\( \vec{a} \) and \( \vec{c} \) are unit vectors and \( |\vec{b}|=4 \) with \( \vec{a} \times \v....
\( \vec{a} \) and \( \vec{c} \) are unit vectors and \( |\vec{b}|=4 \) with \( \vec{a} \times \vec{b}=2 \vec{a} \times \vec{c} \). The angle between \( \vec{a} \) and \( \vec{c} \) is
P
\( \cos ^{-1}(1 / 4) \). Then \( \vec{b}-2 \vec{c}=\lambda \vec{a} \), if \( \lambda \) is
(1) -1
(2) \( 1 / 4 \)
(3) 0
(4) \( -1 / 4 \)
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