I've told you, if two vectors are equal, the components must match.

我说过如果两个矢量相等,那它们的分量必须都相同

耶鲁公开课 - 基础物理课程节选

You cannot have two vectors equal without exactly the same x component, exactly the same y component.

你不能说两个矢量相等,如果它们的 x 分量不完全相同,或者 y 分量不完全相同

耶鲁公开课 - 基础物理课程节选

So, suppose I tell you to add two vectors, A and B equal to C, and I say, "What's the result of adding A and B?"

假设我告诉你们将两个矢量相加,A + B = C,我问,"A 加 B 结果是什么"

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A very important result is that if two vectors are equal, if A = B, the only way it can happen is if separately Ax is equal to Bx and Ay is equal to By.

这里有一个相当重要的结论,如果两个矢量相等,例如 A = B,那么当且仅当,Ax = Bx 和 Ay = By 分别成立

耶鲁公开课 - 基础物理课程节选