Скаларен квадрат на вектор в геометрични и тригонометрични неравенства
The square dot product of a vector in geometric and trigonometric inequalities

Summary/Abstract: The present elaboration is related to finding the square dot product of a vector as a linear combination of a finite number of vectors for which scalar product could be calculated. The goal is to show various applications of the fact, that the square dot product is nonnegative. Tasks are used to prove inequalities between lengths of segments in geometric figures and inequalities for trigonometric functions of angles.

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