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A position vector is a mathematical concept used to describe the position of a point in space relative to a chosen origin. It is represented by an arrow pointing from the origin to the point, and its magnitude is the distance between the point and the origin.
A displacement vector represents the change in position between two points, while a position vector represents the position of a single point. In other words, a position vector is static and does not change, while a displacement vector is dynamic and can change depending on the starting and ending points.
A position vector is typically represented using the letter r, with an arrow above it to indicate that it is a vector. It can also be written in its component form as r = xi + yj + zk, where x, y, and z are the components of the vector in the i, j, and k directions, respectively.
In 2D space, a position vector can be found by determining the x and y coordinates of the point relative to the origin. The position vector is then represented as r = xi + yj, where x and y are the x and y coordinates, respectively.
No, a position vector cannot have a negative magnitude. Magnitude is always a positive value, representing the distance between the point and the origin. However, the components of a position vector can be negative if the point is located in the negative direction of a certain axis.