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向量相加

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关于此实验

- 向量
- 向量分量
- 向量加法
- Equations

探索一维或二维向量。在直角坐标系或极坐标系中表示你的向量，观察每一个向量的大小、角度和分量。学习向量等式，比较向量的和与差。

- 用自己的话解释向量表示
- 将向量的角的形式转化为分量形式。

HSN-VM.A.1

(+) Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., *v*, |*v*|, ||*v*||, *v*).

HSN-VM.A.2
(+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

HSN-VM.B.4
(+) Add and subtract vectors.

HSN-VM.B.4a
Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

HSN-VM.B.4b
Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

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*(*v*_{x}, *v*_{y}) = (*cv*_{x}, *cv*_{y}).

HSN-VM.B.5b
Compute the magnitude of a scalar multiple *c**v* using ||*c**v*|| = |*c*|*v*. Compute the direction of *c**v* knowing that when |*c*|*v* ≠ 0, the direction of *c**v* is either along *v* (for *c* > 0) or against *v* (for *c* < 0).

版本 1.0.0