cross-product 是一个合成词，由 cross（交叉）和 product（乘积）两个词组成。它的基本含义是“两个或多个向量的叉乘”。发音为 [?kr?s ?prɑ?d?kt]。
以下是一些使用 cross-product 的英语范文和例句，供您参考：
英语范文：
1. 在物理学中，向量叉乘是一个重要的概念，它可以帮助我们更好地理解物理现象。例如，在磁场和电流的交叉中，我们可以使用叉乘来计算磁力线与电流线的交点处的力。
例句：The cross-product between the magnetic field and the electric current is a useful tool for calculating the force at the intersection of the magnetic field and the electric current.
2. 在计算机图形学中，叉乘也被广泛应用。例如，在绘制三维图形时，我们需要使用叉乘来计算两个向量之间的角度和距离。
例句：When drawing three-dimensional objects in computer graphics, we need to use the cross-product to calculate the angle and distance between two vectors.
3. 在数学中，叉乘也是向量分析中的一个重要概念。它可以用来计算两个向量的方向和大小，以及它们之间的夹角。
例句：In vector analysis, the cross-product can be used to determine the direction and magnitude of two vectors as well as their angle.
在以上例句中，cross-product 都被用来描述向量之间的关系和计算。因此，它是一个非常实用的英语词汇，可以在各种场合中使用。
cross-product
释义：
交叉乘积
发音：
英 [kr?s p?r?dju?t] 美 [kr?s p?r?dju?t]
英语范文：
标题：Cross-Product: The Magic of Multiplication
Cross-product， a simple yet powerful concept in mathematics, is the product of two vectors multiplied together. It is a fundamental tool in physics, engineering, and other fields where vectors are commonly used.
Cross-product plays a crucial role in understanding motion and forces. When two forces act on an object, their cross-product gives us the moment of inertia, which determines how the object will rotate. In engineering, cross-product calculations are essential for designing stable structures and ensuring safe operations.
In physics, cross-product is used to calculate the torque on a body due to a force. Understanding cross-product allows us to predict how objects will respond to external forces, which is crucial in understanding motion and motionlessness.
Cross-product is also a powerful tool for visualizing vectors and their relationships. By multiplying two vectors together and taking their cross-product, we can create a new vector that represents their relative orientation and magnitude. This visualization helps us understand the forces acting on an object and how they influence its motion.
In summary, cross-product is a fundamental concept that plays a crucial role in many fields. It allows us to understand motion and forces, design stable structures, and visualize vectors and their relationships. By mastering cross-product, we can unlock the secrets of motion and motionlessness, and use it to solve real-world problems.
cross-product
发音: [kr??s-pr??d??st]
英语范文：
The cross-product is a fundamental concept in mathematics and physics. It is a measure of the product of two vectors in a three-dimensional space, and it plays an important role in many areas of science and engineering.
When we talk about cross-product, we are usually referring to the product of two vectors, denoted by the symbol ×. For example, consider two vectors A and B, and let us assume that they are both directed along the x-axis. If we consider a third vector C that is perpendicular to A and B, then the cross-product of A and B is equal to the magnitude of C.
In physics, the cross-product is used to calculate the torque, moment of inertia, and other mechanical quantities. It is also used in electrical engineering to calculate the magnetic field generated by a current-carrying wire.
Cross-product is a very useful concept because it allows us to express certain physical phenomena in a more intuitive and visual way. For example, if we consider a system of particles moving in a three-dimensional space, we can use the cross-product to calculate the net force acting on the system. This allows us to visualize the forces acting on each particle and how they combine to produce a net force on the system as a whole.
In summary, the cross-product is a fundamental concept that plays an important role in many areas of science and engineering. It allows us to express certain physical phenomena in a more intuitive and visual way, and it provides us with a powerful tool for analyzing and understanding these phenomena.
