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VectorsVectors (id: d6443a648)

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admin 发表于 2024-7-14 23:39:11 | 显示全部楼层 |阅读模式
本题目来源于试卷: VectorsVectors,类别为 IB数学

[填空题]
Consider the vectorscc4 ah;eq*p. tcuo6:h ci*4 l9gs r20yncoms6given by $\mathbf{u}=\mathbf{i}+3 \mathbf{j}-4 \mathbf{k}$ and $ \mathbf{v}=a \mathbf{i}+c \mathbf{k}$ , where a and c are constants.
It is given that $\mathbf{u} \times \mathbf{v}=3 \mathbf{i}+b \mathbf{j}-6 \mathbf{k}$ , where b is a constant.
1. Find the value of each of the constants a, b and c . a =    b =    c =  
2. Hence find the Cartesian equation of the plane containing the vectors $\mathbf{u}$ and $\mathbf{v}$ and passing through the point $ \mathrm{P}(3,1,0)$ . x-2y-2z =  




参考答案:
空格1: 2±2%空格2: 1±2%空格3: -9±2%空格4: 0


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