vectorially

简明释义

英[ˌvɛk.təˈrɪ.ə.li]美[ˌvɛk.təˈrɪ.ə.li]

adv. 矢量地

英英释义

单词用法

同义词

反义词

例句

1.If there's more than one force in this direction, you have to add these forces in this direction vectorially, and then this is the work that the forces do together.

如果不止一个力，在这个方向，你必须加上其他力，在这个方向的矢量，功就是，这些力所做的总和。

2.If there's more than one force in this direction, you have to add these forces in this direction vectorially, and then this is the work that the forces do together.

如果不止一个力，在这个方向，你必须加上其他力，在这个方向的矢量，功就是，这些力所做的总和。

3.The forces acting on the object can be analyzed vectorially to determine the resultant force.

作用在物体上的力可以通过矢量方式进行分析，以确定合力。

4.To understand the motion, we need to represent the velocities vectorially.

为了理解运动，我们需要以矢量方式表示速度。

5.The displacement of the particle was calculated vectorially to find its exact position.

粒子的位移是通过矢量方式计算的，以找到其确切位置。

6.In physics, we often resolve vectors vectorially to simplify complex problems.

在物理学中，我们经常通过矢量方式来分解向量，以简化复杂问题。

7.The engineer drew the forces vectorially to visualize their impact on the structure.

工程师以矢量方式绘制了力，以可视化它们对结构的影响。

作文

In the realm of physics and mathematics, the concept of vectors plays a crucial role in understanding various phenomena. Vectors are quantities that have both magnitude and direction, making them essential for describing forces, velocities, and other physical quantities. When we analyze these vectors, we often do so vectorially, which means considering their properties and operations in a way that respects their directional nature. This approach allows us to solve complex problems that involve multiple dimensions and forces acting in different directions.For instance, when two forces are applied to an object, we can represent these forces as vectors. By adding these vectors vectorially, we can find the resultant force acting on the object. This process involves not just simple arithmetic but also geometric interpretation, where we visualize the vectors on a coordinate system. The resultant vector is obtained by placing the tail of one vector at the head of the other and drawing a new vector from the tail of the first to the head of the second. This method highlights the importance of direction in vector addition, as the order of addition can affect the outcome.Moreover, vectorially analyzing motion is fundamental in physics. For example, when studying projectile motion, we can break down the velocity of a projectile into its horizontal and vertical components. Each of these components can be treated as vectors, and by analyzing them vectorially, we can predict the trajectory of the projectile. This technique not only simplifies calculations but also enhances our understanding of how different forces interact in motion.In engineering, the concept of vectors is equally significant. Structural engineers, for example, must consider various forces acting on buildings and bridges. They often utilize vectorially oriented calculations to ensure that structures can withstand applied loads. By analyzing forces vectorially, engineers can determine the most efficient materials and designs to use, ultimately leading to safer and more effective structures.Furthermore, in computer graphics and animation, vectors are used extensively to create realistic movements and transformations. When animators design a character's movement, they often think vectorially about how each part of the character moves in relation to others. This allows for fluid and dynamic animations that mimic real-life motions.In conclusion, the term vectorially encapsulates a method of analysis that is integral to many fields, including physics, engineering, and computer science. Understanding how to manipulate and interpret vectors vectorially empowers scientists and engineers to tackle complex problems with precision and clarity. As we continue to explore the applications of vectors in various domains, it becomes increasingly clear that this concept is foundational to our comprehension of the physical world and the technologies we develop. It is through a vectorial lens that we can appreciate the intricacies of forces and motions that govern our universe, highlighting the beauty of mathematical and physical relationships that exist all around us.

在物理和数学领域，向量的概念在理解各种现象中发挥着至关重要的作用。向量是既具有大小又具有方向的量，这使得它们在描述力、速度和其他物理量时不可或缺。当我们分析这些向量时，我们通常以向量方式进行考虑，这意味着在尊重其方向特性的情况下研究它们的属性和运算。这种方法使我们能够解决涉及多个维度和不同方向作用的复杂问题。例如，当两个力施加在一个物体上时，我们可以将这些力表示为向量。通过以向量方式相加这些向量，我们可以找到作用在物体上的合力。这个过程不仅涉及简单的算术运算，还包括几何解释，我们在坐标系统上可视化这些向量。合成向量是通过将一个向量的尾部放置在另一个向量的头部，并从第一个向量的尾部画出一条新向量到第二个向量的头部来获得的。这种方法突显了在向量加法中方向的重要性，因为加法的顺序可能会影响结果。此外，向量方式分析运动在物理学中是基础性的。例如，在研究抛体运动时，我们可以将抛体的速度分解为水平和垂直分量。每个分量都可以视为向量，通过以向量方式分析它们，我们可以预测抛体的轨迹。这种技术不仅简化了计算，还增强了我们对不同力量如何在运动中相互作用的理解。在工程中，向量的概念同样重要。例如，结构工程师必须考虑作用于建筑物和桥梁的各种力量。他们常常利用向量方式的计算来确保结构能够承受施加的负载。通过以向量方式分析力量，工程师可以确定使用最有效的材料和设计，最终导致更安全和更有效的结构。此外，在计算机图形和动画中，向量被广泛用于创建逼真的运动和变换。当动画师设计角色的运动时，他们通常以向量方式思考角色的每个部分与其他部分之间的运动关系。这使得动画流畅且动态，模仿现实生活中的动作。总之，术语向量方式概括了一种分析方法，这在物理、工程和计算机科学等多个领域中都是不可或缺的。理解如何以向量方式操作和解释向量使科学家和工程师能够精确清晰地解决复杂问题。随着我们继续探索向量在各个领域的应用，越来越清楚这一概念是我们理解物理世界和我们开发的技术的基础。正是通过向量方式的视角，我们才能欣赏到支配我们宇宙的力量和运动的复杂性，突显出存在于我们周围的数学和物理关系之美。