本题目来源于试卷: VectorsVectors，类别为 IB数学
[问答题]
The points A and B ha*1nchjdopcl2,)c go yw(21 uz ve coordir/ k5i rb,-vxlnates $ \mathrm{A}(1,0,4)$ and $\mathrm{B}(2,2,3)$ relative to an origin O .
1. 1. Find $\overrightarrow{\mathrm{OA}} \times \overrightarrow{\mathrm{OB}}$ .
2. Determine the area of the triangle O A B , giving your answer correct to two decimal places.
3. Find the Cartesian equation of the plane OAB .
2. 1. Find the vector equation of the line L_{1} containing the points A and B .
The line $ L_{2} $ has vector equation $\mathbf{r}=\left(\begin{array}{c}0 \\ 12 \\ -9\end{array}\right)+s\left(\begin{array}{c}-3 \\ 1 \\ -4\end{array}\right)$, s $\in \mathbb{R}$ .
2. Determine whether the lines $L_{1}$ and $L_{2} $ are parallel, skew or intersecting. If they intersect, find the coordinates of the point of intersection.
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