Confused just a little bit though difference between (x,y), and <x,y>

In summary, the conversation discusses the difference between scalars and vectors, specifically the use of parentheses and angle brackets. The first one, (x,y), is usually used as vector coordinates while the second one, <x,y>, provides information on direction and magnitude. The use of brackets can vary and it is important to consult the context or further research to fully understand their meaning.
  • #1
myusernameis
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confused... just a little bit though... difference between (x,y), and <x,y>

the first one is a scalor, and the second one is a vector, but how...i'm not even sure how to say it...the second one with the <> what does the number mean if they're not coordinates?

thanks
 
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  • #2


The use of brackets can vary a lot -- you'll have to consult whatever you're reading to find out if it explicitly states what it means by round and by angle brackets.

If that fails, you can try and figure it out by context, or maybe post some passages here so that we can guess.
 
  • #3


Actually, the first one (x,y) is sometimes used as vector coordinates. It should be clear from the context. The numbers associated with the vector <x, y> gives two important pieces of info: (1) direction, and (2) magnitude. There should be a lot of info on the web to learn more for this basic concept.
 

1. What is the difference between (x,y) and ?

The main difference is the notation used. (x,y) represents an ordered pair, where x is the first coordinate and y is the second coordinate. represents a vector, where x is the horizontal component and y is the vertical component.

2. Are (x,y) and interchangeable?

No, they are not interchangeable. They have different meanings and represent different mathematical concepts. (x,y) is used to represent coordinates on a graph, while is used to represent a vector in physics and mathematics.

3. Can (x,y) be used to represent a vector?

Technically, yes. However, it is not the most common or standard notation for vectors. It is more commonly used for ordered pairs in a two-dimensional coordinate system.

4. How do (x,y) and relate to each other?

(x,y) is a subset of , meaning that all ordered pairs can be represented as vectors, but not all vectors can be represented as ordered pairs. Vectors have additional properties, such as magnitude and direction, that are not present in ordered pairs.

5. Can (x,y) and be converted into each other?

Yes, they can be converted into each other. To convert (x,y) into , simply rewrite it as by adding a vector symbol on top. To convert into (x,y), simply drop the vector symbol and write it as an ordered pair.

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