radius vector

简明释义

矢径

英英释义

例句

1.In polar coordinates, the position of a point can be described by its radius vector (半径向量) from the origin.

在极坐标中，点的位置可以通过其从原点的半径向量 (半径向量)来描述。

2.The length of the radius vector (半径向量) determines the distance from the origin to the point in space.

半径向量 (半径向量) 的长度决定了从原点到空间中点的距离。

3.To find the area swept by the radius vector (半径向量) in a given time, we can use the formula A = 1/2 * r * θ.

要找出在给定时间内半径向量 (半径向量) 扫过的面积，我们可以使用公式 A = 1/2 * r * θ。

4.The radius vector (半径向量) is crucial for calculating the gravitational force acting on a satellite.

计算作用于卫星的引力时，半径向量 (半径向量) 是至关重要的。

5.In vector calculus, the radius vector (半径向量) is often represented as r = (x, y, z).

在向量微积分中，半径向量 (半径向量) 通常表示为 r = (x, y, z)。

作文

In the realm of physics and mathematics, the concept of a radius vector plays a crucial role in understanding the relationship between points in space. A radius vector is defined as a vector that extends from a central point, typically the origin of a coordinate system, to a specific point in space. This concept is not only fundamental in geometry but also essential in fields such as astronomy, mechanics, and even computer graphics. By representing the position of an object relative to a reference point, the radius vector allows us to analyze motion and spatial relationships effectively.To grasp the significance of the radius vector, we can consider its application in celestial mechanics. In this field, the positions of celestial bodies are often described using radius vectors. For example, when studying the orbit of a planet around the sun, the radius vector can be used to represent the distance and direction from the sun to the planet at any given moment. This representation is vital for calculating gravitational forces, orbital paths, and predicting the motion of celestial objects.Moreover, the radius vector can also be applied in the context of polar coordinates, which provide an alternative method for describing points in a two-dimensional space. In polar coordinates, each point is defined by a distance from the origin (the radius) and an angle from a reference direction. The radius vector in this scenario is the line segment that connects the origin to the point, and its length corresponds to the radial distance. This approach simplifies many problems in physics and engineering, particularly those involving circular motion.In addition to its uses in theoretical applications, the radius vector is also significant in practical scenarios, such as computer graphics and game development. When rendering three-dimensional objects, developers often utilize radius vectors to determine the position and orientation of objects in a virtual space. By manipulating these vectors, they can create realistic movements and interactions between objects, enhancing the overall experience for users.Furthermore, understanding the radius vector is essential for students and professionals in STEM fields. Mastery of this concept enables individuals to approach complex problems with confidence and precision. Whether it involves calculating trajectories, analyzing forces, or designing simulations, the radius vector serves as a foundational tool that bridges various disciplines.In conclusion, the radius vector is more than just a mathematical term; it is a vital concept that facilitates our understanding of the physical world. From celestial mechanics to computer graphics, the applications of the radius vector are vast and varied. As we continue to explore the intricacies of our universe, the importance of this vector will undoubtedly remain a key element in our pursuit of knowledge and innovation. Therefore, embracing and mastering the concept of the radius vector is essential for anyone looking to delve deeper into the realms of science and technology.

在物理和数学的领域中，‘radius vector’这个概念在理解空间中点之间的关系方面扮演着至关重要的角色。‘radius vector’被定义为从中心点（通常是坐标系统的原点）延伸到空间中特定点的向量。这个概念不仅在几何学中是基础的，而且在天文学、力学甚至计算机图形学等领域也是必不可少的。通过表示物体相对于参考点的位置，‘radius vector’使我们能够有效地分析运动和空间关系。为了理解‘radius vector’的重要性，我们可以考虑它在天体力学中的应用。在这个领域中，天体的位置通常使用‘radius vector’来描述。例如，在研究行星围绕太阳的轨道时，‘radius vector’可以用来表示从太阳到行星在任何给定时刻的距离和方向。这种表示对于计算引力、轨道路径以及预测天体的运动至关重要。此外，‘radius vector’也可以应用于极坐标的上下文中，极坐标提供了一种描述二维空间中点的替代方法。在极坐标中，每个点由与原点的距离（半径）和与参考方向的角度来定义。在这种情况下，‘radius vector’是连接原点和该点的线段，其长度对应于径向距离。这种方法简化了许多物理和工程问题，特别是那些涉及圆周运动的问题。除了在理论应用中的用途，‘radius vector’在实际场景中也具有重要意义，例如计算机图形学和游戏开发。当渲染三维对象时，开发人员通常利用‘radius vector’来确定虚拟空间中对象的位置和方向。通过操控这些向量，他们可以创建现实的运动和对象之间的交互，从而增强用户的整体体验。此外，理解‘radius vector’对STEM领域的学生和专业人士至关重要。掌握这一概念使个人能够自信且精确地处理复杂问题。无论是计算轨迹、分析力还是设计模拟，‘radius vector’都是一个基础工具，连接着各种学科。总之，‘radius vector’不仅仅是一个数学术语；它是一个重要的概念，促进了我们对物理世界的理解。从天体力学到计算机图形学，‘radius vector’的应用广泛而多样。随着我们继续探索宇宙的复杂性，这个向量的重要性无疑将继续成为我们追求知识和创新的关键元素。因此，拥抱和掌握‘radius vector’的概念对于任何希望深入科学和技术领域的人来说都是必不可少的。