I voted to close the question for the reason that it belongs on Mathematics SE. The main closure reason was the homework reason, which I do disagree with. I think this question aligns more with the "needs detail and clarity" reason.
To address some misconceptions:
however I do think that what the actual substance of the question is actually high value.
If the question is poorly worded (not barely worded at all) so that this "high value substance" isn't obvious to other users, then I believe it should be closed. One could make this argument about almost any closed question, so I don't think it should be used as a "keep open" reason.
The reason being that I haven't seen even an introductory physics textbook which admits to the mathematical complexity of the true nature of vectors. So, I think that a new person would be able to appreciate how necessary mathematics is and be more motivated to study it if he just knew the real concepts behind the things.
I agree with this, and certainly information about this is helpful to others. However, useful does not mean on topic. PSE has specific policies as to the types of questions and answers we are "curating". Unfortunately this means that some good content will be off topic, and not all users looking for help will find it here. And once again, this argument could be used on many closed questions, so it also shouldn't be used as a "keep open" reason.
Bottom line: I think that the substance of op's question is excellent even though the actual presentation of it is not so great.
Unfortunately, presentation is important on PSE as well. That's why there is an entire close reason of "needs detail and clarity". If I was encountering this student while tutoring I would work with them to unearth the true question they are asking in better clarity. However, PSE is not a tutoring site. If you put up a poor question then it should be closed, even if some users happen to be able to glean some meaning from it.
I think the reasons the question is unclear are as follows:
The title of the question is unclear since I don't really know what they mean by the "value of the vector". There are many ways to interpret this in the context of coordinate transformations. Do they mean to ask about how the vector components change relative to the axes? Do they mean to ask about the actual vector itself, asking if we get a "new" vector entirely?
The body does nothing to clarify their question. The body really doesn't say anything.
I just need an answer in a paragraph .
What else would the answer be in?
I will be very grateful if i get a quick answer
This doesn't add anything to the question, and this sentence might be why some users voted to close as off topic homework, as it seems like the case of "hurry I waited until the last minute to do my assignment so I need an answer now."
- I still don't know what physics they are asking about. The body could have been used to show the physics context their question comes from.