Abstract
The vector method is one of the most general approaches for solving geometric problems. The universality of this method is so broad that it is applied in algebra, mathematical analysis, geometry, and physics. It is used to solve problems of increased complexity, entrance exams for universities, and high-level mathematical Olympiad problems. The vector method is relatively new in mathematics. Primarily, I propose using it to solve problems that involve vectors in their statements. Such problems will be discussed below in this article. The solutions obtained through this method often have a more concise form, unlike traditional solutions, which can sometimes appear too cumbersome. However, I want to emphasize that comparing classical and vector methods is inappropriate. These are different "languages of mathematics," and we are learning to "speak" in one of them.
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