# Vector Addition: Equations_向量加法：方程式

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### 標題

• Equations
• Vectors
• Vector Components

HTML5 版本之翻譯：

### 學習目標

• Describe what happens to a vector when it is multiplied by a scalar
• Arrange vectors graphically to represent vector addition or subtraction
• Compare the outcomes of each vector equation

### 標準對齊

#### 共用核心 - 數學

HSN-VM.B.4c
Understand vector subtraction v - w as v + (-w), where -w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.
HSN-VM.B.5
(+) Multiply a vector by a scalar.
HSN-VM.B.5a
Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy).
HSN-VM.B.5b
Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).

### 教學提示

 模擬教學的控制概觀、模型簡化與引導學生思考 ( PDF ).

### 老師提供的活動

PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López 大學-簡介

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equilibrium of forces tahani sarayreh 高中

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Guia do Estudante - Encontre o Vetor Resultante RONIVAN SOUSA DA SILVA SUTTINI 高中

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Serbian 全部 Српски Сабирање вектора: Једначине
Telugu 全部 Telugu సదిశల సంకలనం: సమీకరణాలు; అనువాదం: ఉడిత్యాల రమణ

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Linux Systems:

• Brandon Li (developer)
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• Amy Rouinfar (lead designer)
• Michael Dubson (original designer)
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