Three vectors \( \vec{a}, \vec{b}, \vec{c} \) are such that \( \vec...
Three vectors \( \vec{a}, \vec{b}, \vec{c} \) are such that \( \vec{a} \times \vec{b}=3(\vec{a} \times \vec{c}) \).
P
W Also, \( |\vec{a}|=|\vec{b}|=1,|\vec{c}|=\frac{1}{3} \). If the angle between \( \vec{b} \) and \( \vec{c} \) is \( 60^{\circ} \), then:
(1) \( \vec{b}=3 \vec{c}+\vec{a} \)
(2) \( \vec{b}=3 \vec{a}-\vec{c} \)
(3) \( \vec{b}=3 \vec{c}+2 \vec{a} \)
(4) \( \vec{b}=3 \vec{c}-2 \vec{a} \)
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