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00:00:00 - Introduction 00:00:05 - Formulas for expressing orientations. Volume and area through the determinant of a matrix 00:05:56 - System of linear equations 00:11:17 - Cramer's rule 00:23:40 - Note for a determinant equal to zero 00:27:14 - Vector product 00:32:45 - Vector product of collinear vectors 00:33:23 - Relationship between mixed and vector products 00:39:33 - Basic properties of the vector product 00:50:37 - Formulas for obtaining the vector product through the determinant 01:03:30 - Another formula for the vector product (double vector product) 01:12:43 - Lines and planes Lecture date: September 15, 2021 Lecturer: Ilya Igorevich Bogdanov Cinematographer: Daniil Maksimov Editing: Daria Zenina
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