basic vector

简明释义

基矢;

英英释义

例句

1.When creating a 3D model, understanding the basic vector 基本向量 is crucial for accurate rendering.

在创建3D模型时，理解 基本向量 basic vector 对于准确渲染至关重要。

2.In computer graphics, a basic vector 基本向量 helps in defining colors and lighting effects.

在计算机图形学中，基本向量 basic vector 有助于定义颜色和光照效果。

3.The concept of a basic vector 基本向量 is fundamental when discussing vector spaces.

在讨论向量空间时，基本向量 basic vector 的概念是基础。

4.The basic vector 基本向量 can be manipulated to change the orientation of an object in a simulation.

可以操纵 基本向量 basic vector 来改变模拟中物体的方向。

5.In linear algebra, a basic vector 基本向量 is often used to describe the direction and magnitude of a point in space.

在线性代数中，基本向量 basic vector 通常用于描述空间中一个点的方向和大小。

作文

In the realm of mathematics and physics, the concept of a basic vector is fundamental to understanding various phenomena. A basic vector can be defined as a vector that serves as a building block for other vectors in a given space. It provides a direction and magnitude, which are essential components for vector representation. Understanding basic vector is crucial for students and professionals alike, as it lays the groundwork for more complex theories and applications. Vectors are quantities that have both magnitude and direction. They are often represented graphically as arrows, where the length of the arrow indicates the magnitude and the arrowhead shows the direction. In a two-dimensional space, we can define basic vectors as unit vectors along the x-axis and y-axis, typically denoted as i and j, respectively. These basic vectors can be combined through addition or scalar multiplication to form any other vector in that space. For example, if we have a vector A that points 3 units along the x-axis and 4 units along the y-axis, we can express it as A = 3i + 4j. Here, the coefficients of the basic vectors i and j represent how much of each basic vector is needed to reach the point represented by vector A. The significance of basic vectors extends beyond mere representation. In physics, they are used to describe forces, velocities, and other physical quantities. For instance, when analyzing the motion of an object, we often break down its velocity into components along the basic vectors of our chosen coordinate system. This decomposition simplifies calculations and helps us understand the object's movement in a more manageable way. Moreover, in higher dimensions, the idea of basic vectors becomes even more interesting. In three-dimensional space, we introduce a third basic vector, k, which represents the z-axis. Any vector in this space can be expressed as a linear combination of the three basic vectors: A = ai + bj + ck, where a, b, and c are scalars. This concept is crucial in fields such as computer graphics, where 3D models are manipulated using these basic vectors to achieve realistic representations. In conclusion, the understanding of basic vectors is essential for anyone studying mathematics, physics, or engineering. They serve as the foundation upon which more complex concepts are built. By grasping the properties and applications of basic vectors, individuals can unlock a deeper comprehension of the world around them. Whether it is in the analysis of forces, motion, or even in the realm of computer science, basic vectors play a pivotal role in bridging theory and practical application. Therefore, investing time in mastering the concept of basic vectors will undoubtedly yield benefits in various academic and professional pursuits.

在数学和物理学领域，基本向量的概念对于理解各种现象至关重要。基本向量可以定义为在给定空间中作为其他向量构建块的向量。它提供了方向和大小，这是向量表示的基本组成部分。理解基本向量对于学生和专业人士来说都是至关重要的，因为它为更复杂的理论和应用奠定了基础。向量是既有大小又有方向的量。它们通常以箭头的形式图形表示，其中箭头的长度表示大小，箭头的尖端显示方向。在二维空间中，我们可以将基本向量定义为沿x轴和y轴的单位向量，通常分别用i和j表示。这些基本向量可以通过加法或标量乘法组合形成该空间中的任何其他向量。例如，如果我们有一个指向x轴3个单位和y轴4个单位的向量A，我们可以将其表示为A = 3i + 4j。在这里，基本向量i和j的系数表示到达由向量A表示的点所需的每个基本向量的数量。基本向量的重要性不仅限于简单的表示。在物理学中，它们用于描述力、速度和其他物理量。例如，在分析物体的运动时，我们经常将其速度分解为沿我们选择的坐标系的基本向量的分量。这种分解简化了计算，并帮助我们以更易于管理的方式理解物体的运动。此外，在高维空间中，基本向量的概念变得更加有趣。在三维空间中，我们引入第三个基本向量k，表示z轴。该空间中的任何向量都可以表示为三个基本向量的线性组合：A = ai + bj + ck，其中a、b和c是标量。这个概念在计算机图形学等领域至关重要，在这些领域中，3D模型使用这些基本向量进行操纵，以实现逼真的表示。总之，理解基本向量对于任何学习数学、物理或工程的人来说都是必不可少的。它们作为构建更复杂概念的基础。通过掌握基本向量的属性和应用，个人可以解锁对周围世界更深的理解。无论是在力、运动的分析中，还是在计算机科学领域，基本向量在连接理论与实际应用方面发挥着关键作用。因此，花时间掌握基本向量的概念无疑会在各种学术和职业追求中产生益处。