Until the first half of the 19th century, the vector theory is merely associated with mechanical application, and the vector appears mainly in form of Cartesian coordinates and at the same time supplies mechanical application with a useful tool.

• 我们发现由此发展起来的向量理论直到19世纪上半叶主要是和力学应用紧密结合在一起的,这一时期向量主要是以笛卡儿坐标的形式出现,并反过来为力学应用提供了一种有效的数学工具。