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第二十單元

第二十單元. 三度空間的向量. Vector in Three-Space. Example. Example. Standard Basis. The Length of u. Unit Vector. Triangle Law. Dot Product. Perpendicular Criterion. Cauchy-Schwarz Inequality. Cauchy-Schwarz Inequality. Example. Geometrical Interpretation of Dot Product. Projection. Example.

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第二十單元

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  1. 第二十單元 三度空間的向量

  2. Vector in Three-Space

  3. Example Example

  4. Standard Basis

  5. The Length of u

  6. Unit Vector

  7. Triangle Law

  8. Dot Product

  9. Perpendicular Criterion

  10. Cauchy-Schwarz Inequality

  11. Cauchy-Schwarz Inequality

  12. Example

  13. Geometrical Interpretation of Dot Product

  14. Projection

  15. Example

  16. Work

  17. Example

  18. 單元結語 • 向量是非常方便且有用的數學工具，只要有物理意義就時常和向量有關。 • 内積公式要熟練，投影的觀念要懂得應用，在16單元已經用過，還記得嗎? • 後面有關多變數的微積分，需要向量的觀念(曲線的切線以斜率表示，曲面的切平面只得以法向量描述)

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