请大侠解释一下向量积右手定则如何用,我实在不懂手要怎么转

2025-01-04 07:02:12
推荐回答(5个)
回答1:

向量积右手定则使用方法如下:

右手除姆指外的四指合并,姆指与其他四指垂直,四指由A向量的方向握向B向量的方向,这时姆指的指向就是A,B向量向量积的方向。就是说,AB向量积的方向垂直于AB向量确定的平面。如下图所示:

向量积,数学中又称外积、叉积,物理中称矢积、叉乘,是一种在向量空间中向量的二元运算。与点积不同,它的运算结果是一个向量而不是一个标量。并且两个向量的叉积与这两个向量和垂直。其应用也十分广泛,通常应用于物理学光学和计算机图形学中。

扩展资料

向量积的代数规则

1、反交换律:a×b=-b×a

2、加法的分配律:a×(b+c)=a×b+a×c。

3、与标量乘法兼容:(ra)×b=a×(rb)=r(a×b)。

4、不满足结合律,但满足雅可比恒等式:a×(b×c)+b×(c×a)+c×(a×b)=0。

5、分配律,线性性和雅可比恒等式别表明:具有向量加法和叉积的R3构成了一个李代数。

6、两个非零向量a和b平行,当且仅当a×b=0。

参考资料:百度百科-向量积

回答2:

你完全搞错了!平面内两个向量积数值等于这两个向量为两边构成的平行四边形面积即a.bsinα,方向指向平面指向垂直两向量所在平面。如三维空间中,向量在xy平面,z轴就是它方向,如a向b方向运动为顺时针方向,右手竖直开掌,四指方向为运动方向,那么大拇指方向为指向z轴方向就是积向量方向,如运动或转动方向为逆时针,四指指向逆时针方向,大拇指自然变成了z轴负方向!

回答3:

  1. 右手除姆指外的四指合并,姆指与其他四指垂直,四指由A向量的方向握向B向量的方向,这时姆指的指向就是A,B向量向量积的方向。就是说,AB向量积的方向垂直于AB向量确定的平面。

  2. 向量积,数学中又称外积、叉积,物理中称矢积、叉乘,是一种在向量空间中向量的二元运算。与点积不同,它的运算结果是一个向量而不是一个标量。并且两个向量的叉积与这两个向量和垂直。其应用也十分广泛,通常应用于物理学光学和计算机图形学中。

  3. 物理中的右手定则:用右手握螺线管,让四指弯向与螺线管的电流方向相同,大拇指所指的那一端就是通电螺线管产生的磁场的N极。直线电流的磁场的话,大拇指指向电流方向,另外四指弯曲指的方向为磁感线的方向(磁场方向或是小磁针北极所指方向或是小磁针受力方向)。后来有推广到了数学向量中。

回答4:

没有一张JPG不能解决的问题!

回答5:

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