A position vector is a mathematical concept used to describe the location of a point in space relative to a fixed reference point, called the origin.
The origin is a fixed reference point used to define the position of other points in space. It is typically denoted as (0, 0) in a two-dimensional coordinate system or (0, 0, 0) in a three-dimensional coordinate system.
Yes, position vectors can have negative values. This indicates that the point is located in the opposite direction from the origin along a specific axis.
Position vectors are typically represented using coordinate notation, where the components along each axis are written within parentheses and separated by commas. For example, the position vector (4, 5) represents a point that is 4 units to the right and 5 units up from the origin in a two-dimensional coordinate system.
A position vector describes the location of a point relative to the origin, while a displacement vector describes the change in position of a point from its initial location to its final location. In other words, position vectors are fixed and do not change, while displacement vectors can vary depending on the movement of the point.