Let \( \hat{r} \) be a unit vector satisfying \( \hat{r} \times a=b \), where \( |a|=\sqrt{3} \)...
Let \( \hat{r} \) be a unit vector satisfying \( \hat{r} \times a=b \), where \( |a|=\sqrt{3} \) and \( |b|=\sqrt{2} \). Then,
(a) \( \hat{r}=\frac{2}{3}(a+a \times b) \)
(b) \( \hat{r}=\frac{1}{3}(2 \vec{a}+\vec{a} \times \vec{b}) \)
(c) \( \hat{r}=\frac{2}{3}(a-a \times b) \)
(d) \( \hat{r}=\frac{1}{3}(-\vec{a}+\vec{a} \times \vec{b}) \)
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