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YT 13 minutes 28 seconds MateFacil 01. Vector calculus - Introduction to the course: What is a vector? WITH GRAPHICS YT 16 minutes 46 seconds MateFacil 02. Add and subtract vectors geometrically WITH EXAMPLES | vector calculus YT 16 minutes 48 seconds MateFacil 03. Vectors and points in three dimensions (Three-dimensional coordinates)

YT 13 minutes 39 seconds MateFacil 04. Add and subtract vectors graphically in 3 dimensions | vector calculus YT 8 minutes 23 seconds MateFacil 05. Vector that joins two points of the plane. RESOLVED EXERCISE | vector calculus YT 3 minutes 53 seconds MateFacil 06. Vector that joins two points (two dimensions) RESOLVED EXERCISE | vector calculus

YT 4 minutes 9 seconds MateFacil 07. Vector that joins two points (three dimensions) RESOLVED EXERCISE | vector calculus YT 13 minutes 27 seconds MateFacil Show that MN is parallel to AB in a Trapezoid using vectors YT 6 minutes 19 seconds MateFacil 08. Module of a vector (norm, magnitude, length) graphically | vector calculus

YT 6 minutes 45 seconds MateFacil 09. Module (Standard) of a vector in 3 dimensions graphically | vector calculus YT 9 minutes 46 seconds MateFacil 10. Unit vectors, what are they and how to calculate them? With graphic | vector calculus YT 9 minutes 50 seconds MateFacil 11. Unit vectors i, j, k (Canonical base), with graphs | vector calculus

YT 20 minutes 34 seconds MateFacil 12. Linear combination of vectors, parallel vectors | vector calculus YT 19 minutes 45 seconds MateFacil 13. Vector calculation: List of exercises, with suggestions (List 1) | vector calculus YT 4 minutes 36 seconds MateFacil 14. Vector linking two points in the plane and space RESOLVED EXERCISE | vector calculus

YT 4 minutes 57 seconds MateFacil 15. Sum of vectors in the plane and space, with graph | vector calculus YT 6 minutes 26 seconds MateFacil 16. Norm of the difference vector, RESOLVED EXERCISES | vector calculus YT 5 minutes 45 seconds MateFacil 17. Parallel vectors, how to know if they are. RESOLVED EXERCISES | vector calculus

YT 7 minutes 4 seconds MateFacil 18. Vector belonging to the plane formed by two other vectors | vector calculus YT 4 minutes 23 seconds MateFacil 19. Collinear points, demonstration with vectors RESOLVED EXERCISE | vector calculus YT 6 minutes 34 seconds MateFacil 20. Calculate the sum of AB + BC + CA, where A, B, C, form a triangle | vector calculus

YT 8 minutes 29 seconds MateFacil 21. Points on the axes, or on the coordinate planes. GRAPHIC | vector calculus YT 4 minutes 3 seconds MateFacil 22. Calculate unit vector in 2 and 3 dimensions. RESOLVED EXERCISE | vector calculus YT 5 minutes 49 seconds MateFacil 23. Vector of length 6, in the direction of another vector | vector calculus

YT 9 minutes 39 seconds MateFacil 24. Vector tangent to the graph of a function | vector calculus YT 7 minutes 14 seconds MateFacil 25. Point located in the segment determined by two others | vector calculus YT 7 minutes 50 seconds MateFacil 26. Write a vector as a linear combination of two others | vector calculus

YT 18 minutes 22 seconds MateFacil 27. Geometric and analytical demonstration that two vectors generate a plane | vector calculus YT 7 minutes 39 seconds MateFacil 28. Vector linking midpoints of sides of triangle. DEMONSTRATION | vector calculus YT 10 minutes 22 seconds MateFacil 29. Parallelogram diagonals are cut midway. DEMONSTRATION | vector calculus

YT 12 minutes 34 seconds MateFacil 30. Vector equation of a sphere GRAPHICALLY | vector calculus YT 7 minutes 24 seconds MateFacil 31. Dot product, what is it and how is it calculated? | Vector calculus YT 8 minutes 56 seconds MateFacil 32. Dot product properties. With demonstration | Vector calculus

YT 5 minutes 36 seconds MateFacil Calculate u.v + v.w + wu from u + v + w = 0 YT 7 minutes 15 seconds MateFacil 33. Angle between vectors, demonstration of formula | vector calculus YT 6 minutes 4 seconds MateFacil 34. Angle between vectors, examples (two and three dimensions) | vector calculus

YT 7 minutes 45 seconds MateFacil 35. Orthogonal (perpendicular) vectors How are they determined? | vector calculus YT 5 minutes 27 seconds MateFacil Show that the vectors are perpendicular YT 10 minutes 19 seconds MateFacil 36. Angles and cosine directors. WITH GRAPHICS | vector calculus

YT 15 minutes 35 seconds MateFacil 37. Projections and vector components. With graphics | Vector calculus YT 5 minutes 18 seconds MateFacil Operaciones con VECTORES UNITARIOS, Calcular producto PUNTO YT 6 minutes 28 seconds MateFacil VECTOR que forma ÁNGULOS IGUALES con los EJES, en 2 y 3 dimensiones

YT 14 minutes 14 seconds MateFacil 38. Cross product, where does the formula come from? with Graphic | vector calculus YT 13 minutes 35 seconds MateFacil 39. Cross product as a 3x3 determinant. SOLVED EXAMPLE | vector calculus YT 14 minutes MateFacil 40. Cross product using the unit vectors i, j, k | Vector calculation

YT 22 minutes 11 seconds MateFacil 41. Properties of the cross product, with demonstrations | vector calculus YT 7 minutes 15 seconds MateFacil 42. Norm of cross product, sine of the angle, demonstration of formula | Vector calculus YT 8 minutes 33 seconds MateFacil 43. Parallelogram area determined by two vectors | vector calculus

YT 4 minutes 4 seconds MateFacil 44. Right hand rule, cross product direction | Vector calculus YT 4 minutes 37 seconds MateFacil Show that the vectors are parallel, cross product YT 8 minutes 40 seconds MateFacil 45. Triple scalar product (mixed product), formula, examples, demonstration | vector calculus

YT 10 minutes 55 seconds MateFacil 46. Volume of parallelepiped, demonstration of formula | vector calculus YT 6 minutes 20 seconds MateFacil Volume of the parallelepiped determined by 3 vectors RESOLVED EXERCISE (mixed product) YT 5 minutes 36 seconds MateFacil How to calculate the angle between two vectors, very easy | Vector calculus

YT 5 minutes 39 seconds MateFacil Triple product (mixed product) of 3 vectors (dot product and cross product) | Calculus YT 14 minutes 5 seconds MateFacil 47. List of exercises, with suggestions (List 2) YT 3 minutes 22 seconds MateFacil 48. Vector dot product, VERY EASY

YT 6 minutes 3 seconds MateFacil 49. Angle between vectors, VERY EASY YT 8 minutes 1 second MateFacil Angle between vectors (4 dimensions) RESOLVED EXERCISE Are they orthogonal or orthonormal? YT 8 minutes 49 seconds MateFacil 50. Calculate the angles of a triangle in three dimensions

YT 15 minutes 10 seconds MateFacil 51. Find two vectors that form an angle of 60 ° with another die YT 4 minutes 3 seconds MateFacil 52. Cosines and angles DIRECTORS of a vector, VERY EASY YT 6 minutes 31 seconds MateFacil 53. DIRECTOR COSENOS: Demonstration and exercise

YT 9 minutes 33 seconds MateFacil 54. Vector projections, with graph, VERY EASY YT 3 minutes 37 seconds MateFacil 55. Cauchy - Schwarz inequality PROOF using vectors YT 7 minutes 48 seconds MateFacil 56. Inequality of the triangle DEMONSTRATION What does it mean geometrically?

YT 5 minutes 18 seconds MateFacil 57. Law of the parallelogram DEMONSTRATION and geometric explanation YT 3 minutes 4 seconds MateFacil 58. Proof about orthogonal addition vector and subtraction vector YT 7 minutes 31 seconds MateFacil 59. Calculate the cross product (Cross product), VERY EASY

YT 5 minutes 49 seconds MateFacil Calculate A ^ B (vector product AXB) YT 5 minutes 15 seconds MateFacil 60. Find two unit vectors orthogonal to two dice YT 9 minutes 30 seconds MateFacil 61. Find a vector orthogonal to the plane that passes through 3 points

YT 8 minutes 25 seconds MateFacil Calculate unit perpendicular vector to two given vectors YT 7 minutes 45 seconds MateFacil 62. Area of parallelogram times 4 points, WITH VECTORS YT 7 minutes 55 seconds MateFacil Parallelogram area determined by two vectors RESOLVED EXERCISE (Cross product)

YT 9 minutes 42 seconds MateFacil 63. Area of a triangle determined by three points, using vectors YT 4 minutes 48 seconds MateFacil 64. Volume of the parallelepiped formed by three vectors YT 7 minutes 1 second MateFacil 65. Parallel vectors and vector product, proof

YT 5 minutes 56 seconds MateFacil 66. Prove that three vectors are coplanar YT 3 minutes 51 seconds MateFacil 67. Jacobi's Identity, DEMONSTRATION YT 6 minutes 51 seconds MateFacil 68. Cross stitch product, elimination rule, is it valid?

YT 4 minutes 37 seconds MateFacil 69. Proof with vector product and sum of vectors YT 14 minutes 51 seconds MateFacil 70. Vector equation of a line in the plane and space EXPLANATION YT 7 minutes 47 seconds MateFacil 71. Vector equation of a line in the Cartesian plane, and how to transform it

YT 14 minutes 6 seconds MateFacil 72. Vector, parametric and symmetric equations of a line in the space R ^ 3 YT 13 minutes 29 seconds MateFacil 73. Vector equation of the line that passes through two points, in the plane R ^ 2 YT 14 minutes 42 seconds MateFacil 74. Vector equation of the line that passes through two points, in the space R ^ 3

YT 6 minutes 2 seconds MateFacil 75. Vector equation of the line parallel to another, given in its parametric form YT 8 minutes 39 seconds MateFacil Parametric and symmetric equations of the line parallel to another that passes through a given point YT 5 minutes 40 seconds MateFacil 76. Vector equation of a line perpendicular to two vectors

YT 6 minutes 39 seconds MateFacil 77. Vector equation of line, are they parallel? YT 8 minutes 24 seconds MateFacil 78. Equation of a line parallel to the coordinate axes in the space R ^ 3 YT 5 minutes 7 seconds MateFacil 79. Distance from a point to a line in space, PROOF

YT 10 minutes 27 seconds MateFacil 80. Distance from a point to a line in space R ^ 3 YT 9 minutes 50 seconds MateFacil Calculate the area of the triangle formed by two lines and the X axis YT 4 minutes 51 seconds MateFacil Calculate the area of the triangle formed by a line and the coordinate axes

YT 18 minutes 57 seconds MateFacil 81. Relative position of two lines in space YT 13 minutes 12 seconds MateFacil 82. Determine if the lines are parallel, coincident, oblique, or intersect YT 13 minutes 26 seconds MateFacil 83. Determine if the lines are parallel, coincident, oblique, or intersect

YT 13 minutes 36 seconds MateFacil 84. Determine if the lines are parallel, coincident, oblique, or intersect YT 11 minutes 59 seconds MateFacil 85. Perpendicular lines in the plane, using vectors YT 12 minutes 25 seconds MateFacil 86. Angle formed by two lines in R ^ 2 and R ^ 3, from the director vector

YT 19 minutes 1 second MateFacil 87. Calculate perpendicular line in R ^ 3, which intersects the given line YT 17 minutes 52 seconds MateFacil 88. How to parameterize a line segment YT 8 minutes 19 seconds MateFacil 89. Vectorial and General Equation of the plane COMPLETE EXPLANATION

YT 12 minutes 42 seconds MateFacil 90. Equation of the plane, given point and normal vector YT 7 minutes 23 seconds MateFacil 91. Equation of the plane, given point and perpendicular line YT 9 minutes 7 seconds MateFacil 92. Equation of the plane PARALLEL to another plane

YT 11 minutes 2 seconds MateFacil 93. Equation of the plane containing two vectors and a point YT 11 minutes 24 seconds MateFacil 94. Equation of the plane containing THREE POINTS YT 19 minutes 47 seconds MateFacil 95. Equation of the plane: SUBSTITUTION METHOD

YT 6 minutes 50 seconds MateFacil General equation of plane that passes through three points calculating two vectors and cross product YT 11 minutes 15 seconds MateFacil 96. Equation of the plane containing a line YT 9 minutes 56 seconds MateFacil General equation of a plane that contains a line and is perpendicular to another plane

YT 7 minutes 32 seconds MateFacil General equation of the plane that contains a line and is parallel to another YT 6 minutes 5 seconds MateFacil 97. Intersection of plane and line YT 20 minutes 44 seconds MateFacil 98. Intersection of planes (Parallel, coincident and oblique planes)

YT 5 minutes 6 seconds MateFacil 99. Equation of a line expressed as the intersection of two planes YT 15 minutes 44 seconds MateFacil 100. Angle between two planes, VERY EASY YT 7 minutes 22 seconds MateFacil 101. Distance from a point to a plane, DEMONSTRATION of formula

YT 6 minutes 30 seconds MateFacil 102. DISTANCE from a point to a PLANE, VERY EASY YT 9 minutes 25 seconds MateFacil 103. Distance between two parallel planes YT 20 minutes 20 seconds MateFacil 104. Relative position of 3 planes, ALL CASES

YT 9 minutes 43 seconds MateFacil 105. Intersection of three oblique planes YT 26 minutes 54 seconds MateFacil 106. How to parameterize a Plane, FULL EXPLANATION YT 7 minutes 27 seconds MateFacil 💎106. Ecuaciones paramétricas del plano EJERCICIOS RESUELTOS

YT 23 minutes MateFacil Ecuación de una esfera EXPLICACIÓN COMPLETA YT 11 minutes 15 seconds MateFacil 💎 Ecuación de la Esfera EJERCICIOS RESUELTOS YT 1 hour 1 minute 42 seconds MateFacil Quadric surfaces and cylinders FULL EXPLANATION

YT 30 minutes 59 seconds MateFacil What is a SEVERAL VARIABLE function? (Examples, graphs and applications) (Part 1) YT 11 minutes 3 seconds MateFacil DOMINIO, RANGO, CURVAS DE NIVEL de una FUNCIÓN de VARIAS VARIABLES YT 5 minutes 36 seconds MateFacil Operaciones con FUNCIONES de 3 VARIABLES, y su DOMINIO

YT 11 minutes 39 seconds MateFacil Domain of function of two variables, with square root YT 7 minutes 36 seconds MateFacil 💎 Dominio de función de dos variables, con raíz cuadrada, regiones mas complicadas YT 8 minutes 43 seconds MateFacil Domain of function of two variables, with division (rational functions), and graph of the region

YT 7 minutes 13 seconds MateFacil 💎 Dominio de función de dos variables, con raíz cuadrada y división, regiones mas complicadas YT 13 minutes 46 seconds MateFacil Domain of function of two variables, with logarithm, and graph of the region YT 6 minutes 16 seconds MateFacil 💎 Dominio de función de dos variables, con logaritmo y división, regiones mas complicadas

YT 35 minutes 27 seconds MateFacil Cómo Parametrizar una Curva - Ecuaciones Paramétricas EXPLICACIÓN COMPLETA YT 7 minutes 30 seconds MateFacil 01. Parametric curves - Graph, eliminate parameter, obtain Cartesian equation YT 7 minutes 6 seconds MateFacil 02. Parametric curves - Graph, eliminate parameter, obtain Cartesian equation, parabola

YT 8 minutes MateFacil 03. Parametric curves - Plot, delete parameter YT 13 minutes 13 seconds MateFacil 04. Parametric curves - Graph, eliminate parameter, Cartesian equation, diagonal parabola YT 8 minutes 18 seconds MateFacil 05. Parametric curves - Plot, remove parameter, circumference

YT 7 minutes 55 seconds MateFacil 06. Parametric curves - Plot, delete parameter, ellipse YT 9 minutes 44 seconds MateFacil 07. Parametric curves - Plot and delete parameter YT 34 minutes 55 seconds MateFacil Cylindrical Coordinates What are they? FULL EXPLANATION

YT 15 minutes 35 seconds MateFacil ✨✨ Cylindrical Coordinates What are they? - ANSWERS TO THE EXERCISES YT 39 minutes 36 seconds MateFacil Coordenadas Esféricas ¿Qué son? EXPLICACIÓN COMPLETA YT 4 minutes 7 seconds MateFacil 01. Límites de varias variables PASO A PASO

YT 7 minutes 26 seconds MateFacil 02. Límites de varias variables, FACTORIZACIÓN Y RACIONALIZACIÓN YT 10 minutes 24 seconds MateFacil 03. Límites de dos variables DEMOSTRAR QUE NO EXISTE YT 11 minutes 15 seconds MateFacil 04. Límites de varias variables CAMBIO DE VARIABLES

YT 8 minutes 22 seconds MateFacil 05. Límites de dos variables que NO EXISTEN, Analizando TRAYECTORIAS CURVAS YT 8 minutes 56 seconds MateFacil 06. Límites de dos variables COORDENADAS POLARES, ejemplos resueltos YT 7 minutes 1 second MateFacil 07. Límite de dos variables ¡CUIDADO AL USAR COORDENADAS POLARES!

YT 11 minutes 23 seconds MateFacil 08. Límites de dos variables ANÁLISIS COMPLETO Y DEMOSTRACIÓN YT 5 minutes 10 seconds MateFacil 09. Límites de tres variables MEDIANTE SIMPLIFICACIÓN y sustitución YT 5 minutes 30 seconds MateFacil 10. Límites de tres variables DEMOSTRAR QUE NO EXISTE usando rectas

YT 3 minutes 28 seconds MateFacil 11. Límite de 3 variables con COORDENADAS ESFÉRICAS YT 10 minutes 33 seconds MateFacil Partial derivatives, SOLVED EXAMPLES, VERY EASY YT 11 minutes 8 seconds MateFacil Derivadas Parciales de FUNCIÓN IMPLÍCITA (Incluye GRÁFICA)

YT 8 minutes 36 seconds MateFacil Calculate partial derivatives by applying chain rule (multiple variables) YT 14 minutes 3 seconds MateFacil REGLA DE LA CADENA, VARIAS VARIABLES, ejemplo resuelto YT 21 minutes 49 seconds MateFacil Laplacian in Polar Coordinates: Proof

YT 11 minutes 19 seconds MateFacil Verify partial differential equation (using chain rule) YT 8 minutes 31 seconds MateFacil Máximos, Mínimos y Puntos Silla EN 3 PASOS (Función de 2 variables) YT 1 hour 28 minutes 34 seconds MateFacil 08. Exercises of Maximum and Minimum of Functions of Several Variables

YT 16 minutes 9 seconds MateFacil 01. Double integral, using Fubini's theorem YT 13 minutes 43 seconds MateFacil 02. Double integral, Fubini's theorem YT 4 minutes 41 seconds MateFacil What is a Double Integral Geometrically? - Volume below a surface

YT 9 minutes 43 seconds MateFacil 03. Double integral, Fubini's theorem YT 9 minutes 59 seconds MateFacil Fubini's theorem, explanation and proof (double integral) YT 9 minutes 38 seconds MateFacil 04. Double integral, with trigonometric function sine

YT 2 hours 7 minutes 15 seconds MateFacil Live - Double and triple integrals - Broadcast 05 YT 8 minutes 17 seconds MateFacil 05. Double integral, with exponential function YT 4 minutes 29 seconds MateFacil INTEGRAL DOBLE usando teorema de Fubini, separando como producto

YT 9 minutes 56 seconds MateFacil 06. Double integral, with binomial to the fourth YT 7 minutes 14 seconds MateFacil 07. How to calculate volume with double integral (With Graph) YT 8 minutes 42 seconds MateFacil 08. How to calculate volume with double integral (With Graph)

YT 5 minutes 4 seconds MateFacil 09. Double integral with a polynomial of two variables YT 2 minutes 14 seconds MateFacil 10. Double integral with exponential function YT 4 minutes MateFacil INTEGRAL DOBLE de división de polinomios, Teorema de Fubini, separando como producto

YT 7 minutes 40 seconds MateFacil 11. How to make a double integral using Integration by Parts YT 4 minutes 32 seconds MateFacil INTEGRAL DOBLE usando TRUCO de SIMETRÍA YT 1 minute 56 seconds MateFacil 💎 INTEGRAL DOBLE usando TRUCO de SIMETRÍA

YT 1 minute 44 seconds MateFacil 💎 INTEGRAL DOBLE usando TRUCO de SIMETRÍA YT 6 minutes 11 seconds MateFacil VOLUMEN usando INTEGRALES, Paraboloide Hiperbólico YT 4 minutes 23 seconds MateFacil 💎 VOLUMEN usando INTEGRALES, debajo de un Plano

YT 5 minutes 12 seconds MateFacil 💎 VOLUMEN usando INTEGRALES, debajo de Paraboloide Elíptico YT 6 minutes 23 seconds MateFacil VOLUMEN debajo de CILINDRO en PRIMER OCTANTE con INTEGRAL DOBLE YT 5 minutes 15 seconds MateFacil 💎 Volumen entre PARABOLOIDE y PLANO, usando INTEGRAL DOBLE

YT 4 minutes 21 seconds MateFacil 12. Triple integral with polynomial of three variables YT 10 minutes MateFacil Double Integral, definition as Double Riemann Sum, FULL EXPLANATION YT 2 minutes 20 seconds MateFacil 13. Double integral with variables in the limits of integration

YT 1 minute 43 seconds MateFacil Triple Integral, definition as Triple Riemann Sum, FULL EXPLANATION YT 2 hours 25 minutes 55 seconds MateFacil 02. Double integrals in general regions, calculation of several Stewart variables YT 18 minutes 33 seconds MateFacil Regiones tipo 1 y tipo 2, EXPLICACIÓN COMPLETA para integrales iteradas (varias variables)

YT 9 minutes 28 seconds MateFacil Double integral in general regions, how it is defined, and type 1 and 2 regions YT 7 minutes 31 seconds MateFacil 💎 Expresar como región Tipo 1 y Tipo 2: Región formada por 2 parábolas