What's a Vector in Mathematics?

I'm trying to learn about Vectors in Math, but I can't find a website where I can understand anything, please help me understand by posting a good link, or a good explanation of what a vector in math is..............

Note by Percy Jackson
4 months, 1 week ago

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A vector would be used to show the distance and direction something moved in. If you ask for directions, and a person says "Walk one kilometer towards the North", that's a vector. If he says "Walk one kilometer", without showing a direction, it would be a scalar.

@Percy Jackson, this is for you...

Frisk Dreemurr - 4 months, 1 week ago

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That is physics, where a vector has both direction and magnitude, I'm talking about vectors in Math, as in Euclidian geometry and Euclidian vectors @Hamza Anushath, thanks for trying!

Percy Jackson - 4 months, 1 week ago

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@Percy Jackson, they are the same thing! Check it out yourself...

Frisk Dreemurr - 4 months, 1 week ago

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@Frisk Dreemurr Oh! Thanks, I thought that they were different things, as it was in in the 12th std Syllabus of maths. @Hamza Anushath

Percy Jackson - 4 months, 1 week ago

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But we draw them on diagrams instead...

Frisk Dreemurr - 4 months, 1 week ago

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And a vector z\vec{z} (\vec{z}) is represented like this: (a,b)(a,b), which denotes if you put its starting point on the origin, it’s endpoint is on (a,b)(a,b).

Jeff Giff - 4 months, 1 week ago

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Doesn't the way you represent vectors differ from country to country? E.g., I've always learnt to write vectors as (ab)\begin{pmatrix} a \\ b \end{pmatrix}.

Lorenz W. - 4 months ago

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(a b)\begin{pmatrix} a \ b \end{pmatrix} - YOu mean this @Lorenz W.

Percy Jackson - 4 months ago

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@Percy Jackson No, in a way where a is located on the top of b.

Lorenz W. - 4 months ago

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@Lorenz W. (ab)\begin{pmatrix} \frac{a}{b} \end{pmatrix}

Percy Jackson - 4 months ago

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@Percy Jackson Yes kind of like that, if you'd remove the linke between a and b )

Lorenz W. - 4 months ago

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@Lorenz W. (ab)\begin{pmatrix} a \\ b \end{pmatrix} @Lorenz W. put double \ after a instead of \ in your latex :)

Percy Jackson - 4 months ago

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@Percy Jackson How did you do that in Latex?

Lorenz W. - 4 months ago

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@Lorenz W. @Lorenz W. put double \ after a instead of \ in your latex :)

Percy Jackson - 4 months ago

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@Percy Jackson Ok. Thank you

Lorenz W. - 4 months ago

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@Lorenz W. \s(s\begin{pmatrix} a \s\ b \end{pmatrix} \s) but kick all the s out

Percy Jackson - 4 months ago

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@Lorenz W. Just a \choose b (ab)a\choose b

Jeff Giff - 4 months ago

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Hi Percy. This is a really amazing "interactive textbook" all about linear algebra. Hope you find it helpful!

David Stiff - 4 months ago

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Thanks David!

Percy Jackson - 4 months ago

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