Does the Subscript x=0 Indicate a Zero x-Component in Vector Notation?

AI Thread Summary
The subscript x=0 in vector notation indicates that the equation applies specifically at the point where x equals zero, rather than implying that the x-component of the vector is always zero. Therefore, it is incorrect to assume that the x-component can be removed from the vector representation. The discussion emphasizes that the x-component may still hold a value that is not necessarily zero, depending on the context of the equation. Members are encouraged to share their thoughts and clarify this notation further. Understanding this distinction is crucial for accurate vector representation in physics and engineering contexts.
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I have a quick question to ask you guys. In the first problem found http://whites.sdsmt.edu/classes/ee382/homework/382Homework4.pdf" , does the vertical line with the subscript x = 0 mean that the x-component of the vector is always 0? If so, then I could just remove the x-component from the vector so it would become \vec{\boldsymbol{D}}_{1} = \hat{\boldsymbol{a}}_{y}\beta + \hat{\boldsymbol{a}}_{z}\gamma right? I know this is a really simple question, but since I haven't seen this notation used in a while, I wanted to make sure I knew what it meant.
 
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no i don't think so .. it means that equation is equal to the one written when x=0 (at a point x=0) , you can't say that the x-component is zero! If that component for example equal a constant not including x ifself or any combination of other variables , does that necessary lead to a zero of the x-component? ..

Im not going to say I am 100% sure, but that what I think .. I hope that other members reply and comment on that part ..
 
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