what we will do is just, at every point along the curve, the dot product between the vector field and the normal vector.
我们要做的是,沿着曲线的每一点上,取向量场和法向量的点积。
you can immediately see by looking at this-- - it「s easier to see than looking here-- 0 that the dot product can be larger than zero 0 it can be equal to zero 0 and it can be smaller than zero.
通过这个公式你立刻可以得出-,这比上面公式快多了-,点积可以大于,可以等于,也可以小于。
the dot product and matrices. read chapter3 through3.7 and do exercises.
点积和矩阵。阅读第三章至3.7以及做练习题。
if i take the dot product but now, what does it mean that the dot product between op and a is zero?
如果我用op·a我就得到了,那么op和a的点积是0代表了什么呢?
the vector product node computes the dot product of two vectors.
矢量积节点计算两个向量的数目积。
since scalars are independent of the coordinate system, the dot product of two vectors is called a scalar invariant.
因为标量与坐标系无关,故两个矢量的点积称为标量不变量。
and, if you want to find what goes in a given slot here, then you just look to its left and you look above it, and you do the dot product between these guys.
如果你要找到,这个位置的数是什么,那你就往左,和往上看,然后用它们做点乘。
under most conditions, the dot product can be ignored, so the assumption of the uniform intensity is rational.
在大多数应用中,点乘项可以忽略,因此,光强均匀的假设是合理的。
but now the power that i have to generate is the dot product between the force and the velocity.
但现在我要产生的,功率是力和速度,间的标量积。
the dot product of a pseudo vector and a vector is called a pseudoscalar.
一个赝矢量和一个矢量的标识称为赝标量。
this expression not only contains the term of dot product of velocity vector and temperature gradient, but also contains the dot product of velocity vector and the pressure gradient.
该式不仅含速度矢量与温度梯度矢量的点积项,还含有速度矢量与压力梯度矢量的点积项。
it will be the dot product between and i . this vector is i hat.
它是用和做点乘,这个向量叫。
if you do the dot product with i hat, you will get the first component 0 that will be x1. one times x1 plus zero, zero.
如果你用i做点乘,你能得到第一个分量,那就是x1,1*x1+0
then take the normal of one of the facets that shares the distant vertex and compute the dot product of the two vectors.
计算共享这个最远点的某个面的法向量,如果这两个向量的点乘值大于0,就说明所有面的法向量都已经正确。
it」s the dot product between the normal vector of a plane and the vector along the line.
这是平面法向量,和沿直线向量的点积。
and that is if i keep this force constant for that short amount of time is the dot product times the velocity, because dr/dt is simply the velocity of that object.
如果我在短时内,保持这恒力,是点积乘以速率,因为dr/dt就是,物体的速率。