Which notation is the proper way to write vector quantities?

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The discussion centers on the proper notation for writing vector quantities, specifically for force. Two formats are presented: one using brackets with unit vectors, such as (10 N)i + (5 N)j + (6 N)k, and another without brackets but indicating unit vectors with superscripts, like 10 Ni + 5 Nj + 6 Nk. Participants reference a physics textbook that uses a hat notation, exemplified by 5.0 \hat{i} + 3.6 \hat{j} - 8.4 \hat{z} m/s. The conversation highlights the need for clarity in vector representation and the acceptance of different notational styles in physics. Ultimately, the correct notation may depend on the context and conventions used in specific academic or professional settings.
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What' the proper way to write vector notation? For a force...
(10 N)i + (5 N)j + (6 N)k
or are the brackets not standard and I can just go like this when I can indicate the superscript arrow above the unit vectors
10 Ni + 5 Nj + 6 Nk
I'm not exactly sure and was hoping someone could tell which is correct
thanks
 
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i wasn't sure weather or not to place this in the advanced physics section sorry if I should of
 
My physics textbook had, for instance, a velocity written as 5.0 \hat{i} + 3.6 \hat{j} - 8.4 \hat{z} m/s. That is, numbers followed by unit vector letters with hats on them and after all three, the unit.
 
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