One way to describe orientation in d is with the right hand rule.

描述d方向的一种方法是用右手定则。

Or rather, we should be talking about the signed volume of paralleloppipets in the sense described in the determinant video, using the right hand rule.

或者说 我们应该讨论平行体的带符号体积在行列式视频中描述过 用右手定则。

Using the right hand rule, their cross products should point in the negative X direction, so the cross product of these two vectors is negative four times.

用右手定则 它们的叉乘应该指向-X方向 所以这两个向量的叉乘是-4倍。

When electric current travels up into the top of the rod, you can use the right hand rule, pointing your right thumb in the direction of the current, to see that how the magnetic field flows around the antenna.

当电流流到棒的顶部时，你可以用右手的底部，将右手拇指指向电流的方向，看看磁场如何在天线周围流动。

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。

And as you know from Chapter five, geometrically, this would give you the volume of a parallellapiped spanned out by those three vectors, with a plus or min assigned depending on the right hand rule orientation of those three vectors.

在第五章中 从几何上讲 这就得到了由这三个向量张成的平行四边形的体积 加号或最小值取决于这三个向量的右手定则方向。