Final answer:
The components of a velocity field can be determined by breaking the motion into horizontal and vertical components along the x and y axes. The components of the velocity field are given by u = xy. So, the x-component of the velocity field is given by vx = x and the y-component is given by vy = y.
Step-by-step explanation:
The components of a velocity field can be determined by breaking the motion into horizontal and vertical components along the x and y axes. The components of the velocity field are given by u = xy. So, the x-component of the velocity field is given by vx = x and the y-component is given by vy = y.
In physics, especially in the study of fluid dynamics or electromagnetism, knowing the components of a velocity field allows us to analyze the flow pattern. Furthermore, these components are crucial for calculations involving the magnitude and direction of velocity.