# What is the position vector r?

## What is the position vector r?

The position vector r extends from the origin to the particle, while the velocity vector v points in the direction of the particle’s motion. Other variables, which are appropriate for describing a moving particle, can be defined in terms of these elementary variables.

**What is a position vector function?**

What is a Vector Valued Function? Also called vector functions, vector valued functions allow you to express the position of a point in multiple dimensions within a single function. These can be expressed in an infinite number of dimensions, but are most often expressed in two or three.

### What is the position vector formula?

Position Vector Formula The formula to determine the position vector from A to B is AB = (xk+1 – xk, yk+1 – yk). The position vector AB refers to a vector that starts at point A and ends at point B.

**Why is R used for position vector?**

The r is for “radius”, and in particular, describes the radial vector from the origin to the location described by the vector.

## What is the position vector of particle?

The position vector of a particle →R as a function of time is given by →R=4sin(2πt)^i+4cos(2πt)^j, where R is in meters, t is in seconds and ^i and ^j denote unit vectors along ‘x’ and ‘y’-directions respectively.

**Is the position vector the coordinates?**

A vector that starts in the point (0, 0) has the same coordinates as it’s end point. This vector is called the position vector for A. Every point in the coordinate system can be represented by it’s position vector. The coordinates of a point and it’s position vector are the same.

### How do you write a vector function?

A vector-valued function is a function of the form ⇀r(t)=f(t)ˆi+g(t)ˆj or ⇀r(t)=f(t)ˆi+g(t)ˆj+h(t)ˆk, where the component functions f, g, and h are real-valued functions of the parameter t. The graph of a vector-valued function of the form ⇀r(t)=f(t)ˆi+g(t)ˆj is called a plane curve.

**What is difference between vector and position vector?**

A position vector tells you where you are at a point in space whereas a direction vector simply tells you the direction in which you are going.

## How do you add a position to a vector?

To add position vectors we simply add the components. For example if \bf a is the position vector (x_a, y_a, z_a) and \bf b is the position vector (x_b, y_b, z_b) then {\bf a} + {\bf b} = (x_a+x_b,\ y_a+y_b,\ z_a+z_b). The parallelogram law is used to add position vectors giving \vec{OA}+\vec{OB}=\vec{OC}.

**What is the position vector as a function of time?**

### What is the curl of position vector?

In vector calculus, the curl is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional Euclidean space. The curl at a point in the field is represented by a vector whose length and direction denote the magnitude and axis of the maximum circulation.