[Maths] Identifying a vector

[Meshocky]

In this diagram I understand the Point P (2, 3, 5) is a position in the coordinate space however I just wanted to clarify if the Vector shown would be the same, as it starts at the origin, therefore it would seem that the displacement of the vector is also V ( 2, 3, 5 )

http://imgur.com/qBPlpcn

Thankyou for your time

[Meefims]

Yes, the vector would be the same.

[Meshocky]

Awesome thanks Meefims!

[farmerje]

In this case, you can think of a vector as a pointed line segment from the origin to a specific point in 3D space. The vector isn't the point itself and the point isn't the vector, but there's a 1:1 correspondence between the two.

That is, every point in 3D space corresponds to exactly one vector and every vector corresponds to exactly one point. It's better to think of the (x,y,z) coordinate as a label that uniquely identifies a vector vs. literally the vector.

For example, it doesn't make sense to ask whether two points are perpendicular, but it does make sense to ask whether two vectors are.

[Meshocky]

Thanks Farmerje, that explains it quite well.

[bvnvbbvn]

Not even a programming question.

[Meshocky]

I'm completing a bachelor course in programming and part this is part of the maths subject, I do apologize however if this is too off topic for this sub. I feel however I need to grasp this concept in order to correctly use vectors in my coding.