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This second Vector Product node will apply a Dot product operation to the input.

第二个Vector Product将赋予一个点积操作到输入上。

Finding the Dot Product of these 2 vectors results in a single value that flows from 1.0 to -1.0 as follows

寻找那两个向量的数量积结果在一个单一的向量将在1.0到-1.0之间。

At this point, the Dot Product could be passed directly to the Blender attribute on the Blend Colors node.

在这一点上，数量积能被传递给Blend Colors节点的Blender属性上。

Is a vector dot product.

是矢量的点积。

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。

Recall that the Dot Product values go from 1.0 to 0.0 as the surface rolls away from the light.

记得数量积数值是在1.0到0.0之间，当表面从光处滑过时。

If the dot product is zero, then the sphere is moving parallel to

离这个面。如果点积等于零，则小球正在与面平行的方向上移动。

The dot product of the ▽operator with a vector defines the divergence of that vector .

算子▽与一个矢量的点积定义为这个矢量的散度。

So I can do it by rows, and in each row...each row times my x is what I'll later call it a dot product.

所以我用行也可以做，同时在每一行…每一行乘以我的x，我今后称之为数量积。

However, in this example, both Ray Direction and outNormal are already normalized so the Dot Product is already in the -1.0 to 1.0 range.

然而，在这个例子里，两个Ray Direction 和 outNormal已经规格化于是数量积是已经在－1到1的范围内。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。