GRINGS - Geometria Analítica - Produto Escalar entre Vetores - Aula 5

Scalar product between 2 vectors, Geometric interpretation of the scalar product, Properties of the scalar product. Subscribe:    / omatematicogrings   SITE: http://www.omatematico.com/ DVD Lessons: http://www.lojaomatematico.com.br/ Fanpage:   / omatematicocom   STUDYING has never been so easy! CONTENT: - How to represent the dot product between 2 vectors at time (0:35) Example of dot product between v1 and v2 at time (1:48) Angle between 2 vectors: If the angle between the vectors is LESS THAN 90º, the dot product will be a positive number: acute angle If the angle is GREATER THAN 90º, the dot product will be a negative number: obtuse angle If the angle is 90º, the dot product will be zero at time (2:35) EXERCISE: Determine the dot product between the given vectors. at time (3:54) EXERCISE: Given vectors U and V, determine the dot product between the resulting vectors. at time (5:16) EXERCISE: Show that the given vectors are orthogonal. (9:10) For them to be orthogonal, the dot product must be = 0 (9:27) GEOMETRIC definition of the dot product (11:56) Example: Given the magnitude of u and the magnitude of v, and the angle between them of 120º, calculate u scalar v (12:36)