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gc physics textbook chapter 3 problems (id: 976663881)

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admin 发表于 2024-9-21 22:23:38 | 显示全部楼层 |阅读模式
本题目来源于试卷: gc physics textbook chapter 3 problems,类别为 IB数学

[填空题]
The components of a vec - fv qjlav)r2ex(k 4i7gts0o;tor q6* wp)uk)uqk $\overrightarrow{\mathbf{V}}$ can be written $ \left(V_{x}, V_{y}, V_{z}\right)$ . What are the components and length of a vector which is the sum of the two vectors, $ \overrightarrow{\mathbf{V}}_{1} $ and $\overrightarrow{\mathbf{V}}_{2}$ , whose components are (8.0,-3.7,0.0) and (3.9,-8.1,-4.4) ? components (a,b,c) a =    b =    c =   
length   




参考答案:
空格1: 11.9±2%空格2: -11.8±2%空格3: -4.4±2%空格4: 17.3±2%


本题详细解析:
$\begin{array}{l}
\text { The sum is found by adding the components of vectors } \overrightarrow{\mathbf{V}}_{1} \text { and } \overrightarrow{\mathbf{V}}_{2}\\
\begin{array}{l}
\overrightarrow{\mathbf{V}}=\overrightarrow{\mathbf{V}}_{1}+\overrightarrow{\mathbf{V}}_{2}=(8.0,-3.7,0.0)+(3.9,-8.1,-4.4)=(11.9,-11.8,-4.4) \\
V=|\overrightarrow{\mathbf{V}}|=\sqrt{(11.9)^{2}+(-11.8)^{2}+(-4.4)^{2}}=17.3
\end{array}
\end{array}$

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