What's is the best way to indicate a vector

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Discussion Overview

The discussion revolves around the various methods participants use to indicate vectors in mathematical notation. It encompasses personal preferences, standard practices in textbooks, and historical perspectives on notation. The scope includes both theoretical and practical considerations in writing and typesetting vectors.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants indicate vectors with an arrow on top, citing it as a standard method found in textbooks.
  • Others prefer using a bar over the letter, noting that it is also used for averages or means.
  • One participant mentions a preference for underlining vectors in handwriting and using bold non-italic font when typing.
  • There are suggestions for time-efficient methods, with some expressing that arrows can become messy if drawn quickly.
  • A participant describes a unique approach of using a single stroke for an arrow, which they find neat and efficient.
  • Historical notation practices are discussed, including the use of tildes over letters to indicate vectors, which some professors used in the past.
  • Some participants express that they do not use any special notation for vectors, treating them the same as scalars.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method for indicating vectors, as multiple competing views and preferences remain evident throughout the discussion.

Contextual Notes

Participants express varying levels of comfort and efficiency with different notational methods, and some mention the influence of past teaching experiences on their preferences. There is also a historical context regarding the evolution of vector notation that remains unresolved.

SSDdefragger
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Personally I indicate vectors as a putting bar on a letter, but some people just underline it or put an arrow above it. What's your way of doing so?
 
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arrow on top. works perfectly!
 
I use the arrow and it seems like it's pretty standard notation from all of my textbooks to do it that way, so that's how I do it.
 
SSDdefragger said:
Personally I indicate vectors as a putting bar on a letter, but some people just underline it or put an arrow above it. What's your way of doing so?

Arrow for me, too. Bar on top is also used for the average/mean.
 
I am looking for time efficient and yet easily recognizable and good looking method. Any suggestions?
 
Most of us use the arrow on the top, i don't see a more time efficient method. What do you have in mind? What do you feel is comfortable?
 
It is too tedious to do so, and if you are going too fast they become like an mess on the top of a bar. Arrows are definitely not the best choice for me.
 
Arrow on top. If the arrow is going to get in the way, I capitalize and doublestrike one of the strokes, or bold the lowercase.
 
I also use an arrow on top, I don't see how it can be more time efficient or more easily recognizable.

But instead of an arrow like this --> with a v-shaped head I only give it one stroke to the top like in this picture:
0.jpg


An arrow like this is done in 1 smooth pen-movement, yet obvious and neat.
 
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  • #10
What people prefer will probably depend on how they were taught in the past.

I always use underlining (W = Fx) in handwriting and bold non-italic font \left( W = \textbf{F} \cdot \textbf{x} \right) when typing.

I've also seen lecturers use a "wavy underline" something like this:

x
~​
 
  • #11
A vector arrow (with arrowhead) is drawn in a specified direction. The vector arrow has a head and a tail.
 
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  • #12
I give each of them a thought bubble that says "I'm a vector."
 
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  • #13
That depends on the purpose. What I use:
Calculate something quickly on paper/whiteboard: usually no special mark, unless it would be really confusing without, then they get an arrow (a real one or the one from post 9).
Write something down: \vec: ##\vec{a}##.
 
  • #14
Surprised no one chimed in with "use an [abstract] index": ##v^a##
(Oh, this isn't the Relativity forum :) )
 
  • #15
robphy said:
Surprised no one chimed in with "use an [abstract] index": ##v^a##
(Oh, this isn't the Relativity forum :) )
If we're going to go down that route, there is Dirac notation |\psi\rangle. (Oh, this isn't the Quantum Physics forum.)

And some do not use any special notation at all, using the same typography for vectors and scalars alike. (Oh, this isn't the Linear Algebra forum.)
 
  • #16
I took a class in elasticity in 1982, and the professor always used a curly symbol (a tilda) over the symbols (letters.) which were vectors. I never asked him why, but he was in the minority of the professors who used arrows, bars, over or under the letters. Five years later I was taking electromagnetics with a professor who also used the tildas above the letters. I never asked him about the notation, but one day, he volunteered why he did this.
It seems like in the old days, the tilde over the symbol indicated a request to the (printer) or typesetter to "use bold-faced type". He told me he could send his notes directly to a printer if he so desired, since by learning to use this notation, he was automatically preparing his manuscript to be printed.
 

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