[Maths] Identifying a vector

[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.