That way, a vector with a negative Y coordinate, I would correspond to a negative area for this parallelogram.

这样 一个Y坐标为负的向量 就对应了这个平行四边形的负面积。

Now I'll just have to do that for each of the terms. And each term is only different by the x and the y coordinates right over here.

现在，我只需要为每个条款执行此操作。每个术语仅在此处的 x 和 y 坐标上有所不同。

Now think of the ex coordinate of our rector as a scaler that scales eye hat, stretching it by a factor of three, and the y coordinate, as a scaler that scales j hat, flipping it and stretching it by a factor of two.

现在把我们的rector的前坐标想象成一个缩放eyehat的标量 将其拉伸到原来的3倍 而y坐标 作为缩放jhat的标量 将其翻转并拉伸到原来的2倍。