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The position vector is a straight line having one end fixed to a body and the other end attached to a moving point and is used to describe the position of the point relative to the body. As the point moves, the position vector will change in length or in direction or in both length and direction.
A position vector is defined as a vector that symbolises either the position or the location of any given point with respect to any arbitrary reference point like the origin. The direction of the position vector always points from the origin of that vector towards a given point.
In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a point P in space. Its length represents the distance in relation to an arbitrary reference origin O , and its direction represents the angular orientation with respect to given reference axes.
The position vector \(\rr\) is the displacement vector that points from the origin to a given point \(P\text{,}\) as shown in Figure 3.14.1. It is important to note that the position vector depends not only on the given point, but also on the choice of origin.
Position Vector – Explanation and Examples. We can use a position vector to tell us the location of one object relative to another. Specifically, a position vector is: “A vector which indicates the location or position of a given point with respect to an arbitrary reference point such as the origin.”.
Position vectors are the ones which tell us about the position of any point in space with respect to another point. Now, What do we need to know to specify someone's position? Well Lets take an example: Suppose a thief steals a treasure and hides it then gets caught by the police.
As we saw at the beginning of the chapter, vectors are a simple way of representing a value that has both a magnitude and a direction. One of the simplest things we can represent using vectors is the position of an object. Imagine you have a teddy bear somewhere on a football field.