But I have seen things online that have claimed that I'm a genius and I have X, Y, Z IQ.

但是我在网上看到一些东西声称我是个天才，我有 X、Y、Z 智商。

A, b, c, x, y, z, and all, of course, all the words in between.

A、b、c、x、y、z，当然还有中间的所有单词。

To see where vector with coordinates X-Y-Z lands, the reasoning is almost identical to what it was for two dimensions.

要了解坐标为X-Y-Z的向量的落点 其推理几乎与二维情况相同。

A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, or Z if you're British like me.

A，B，C，D，E，F，G，H，I，J，K，L，M，N，O，P，Q，R，S，T，U，V，W，X，Y，Z 或 Z，如果你像我一样是英国人。

But this is the same thing as taking a dot product between X-Y-Z and a vector that's perpendicular to vn W with a length equal to the area of that parallelogram.

但这和求X-Y-Z和垂直于vnw的向量的点积是一样的这个向量的长度等于平行四边形的面积。

What's more, if you choose the appropriate direction for that vector, the cases where the dot product is negative will line up with the cases where the right hand rule for the orientation of X-Y-Z-V and W is negative.

更重要的是 如果你为这个向量选择了适当的方向 点积为负的情况将与X-Y-Z-V和W方向的右手定则为负的情况相一致。