Absolute value bars in dot product derivation

In summary, the absolute value bars in this derivation signify the length of the vector rather than the absolute value of a number. This convention was more common in earlier vector math books, but the double v-bar notation is now more widely used.
  • #1
ChiralSuperfields
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Dose someone please know why they have the absolute value bars in this derivation?

1679290283120.png

many thanks!
 
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  • #2
The absolute value bars indicate the length of the vector not absolute value of a number.

Of course, the vector length is always positive.

I think this convention was more popular in early vector math books where as now they use the double v-bar notation.

https://en.wikipedia.org/wiki/Norm_(mathematics)
 
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Likes topsquark and ChiralSuperfields
  • #3
jedishrfu said:
The absolute value bars indicate the length of the vector not absolute value of a number.

Of course, the vector length is always positive.

I think this convention was more popular in early vector math books where as now they use the double v-bar notation.

https://en.wikipedia.org/wiki/Norm_(mathematics)
Thank you for your help @jedishrfu !
 

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