Ordinarily, the way you might think about one of a vector's coordinates tape its Z coordinate, would be to take its dot product with the 3rd standard basis factor, often called k hat.

通常 你可能会认为一个向量的坐标带它的Z坐标 就是取它与第三个标准基因子的点积 通常称为k帽。

And if you think of, say, the Z coordinate of that input vector as the volume of that special parallela pipe ed we were looking at earlier, spanned by I hat j Hat, and the mystery input vector.

如果你把输入向量的Z坐标想象成我们之前看到的那个特殊的平行管道的体积 由I*j*张成 还有那个神秘的输入向量。