It was not until the end of 19 and the beginning of the 20th century that people linked the nature of space with vector operation, making vector a mathematical system with excellent universality of operation.
Vector can enter mathematics and develop, first of all, we should start with the geometric representation of complex numbers. At the end of18th century, wiesel, a Norwegian surveyor, first expressed the complex number A+Bi with points on the coordinate plane, and defined the vector operation with geometric complex operation. Points on the coordinate plane are represented by vectors, and the geometric representation of vectors is used to study geometric problems and trigonometric problems. People gradually accepted complex numbers and learned to use them to represent and study vectors on the plane.
But the use of complex numbers is limited, because they can only be used to represent planes. If there are forces that are not in the same plane acting on the same object, we need to find the so-called three-dimensional "complex number" and the corresponding operation system. /kloc-In the middle of 0/9th century, British mathematician Hamilton invented quaternion (including quantity part and vector part) to represent vectors in space. His work laid the foundation for vector algebra and vector analysis. Subsequently, the electromagnetic theory was established.
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