Vectors - The Dot Product 
Vectors - The Dot Product
by Patrick JMT
Video Lecture 47 of 58
Not yet rated
Views: 528
Date Added: March 9, 2015

Lecture Description

For more FREE math videos, visit PatrickJMT.com !!
Vectors - The Dot Product. I show how to compute the dot product of two vectors, along with some useful theorems and results involving dot products. 3 complete examples are shown.

Course Index

  1. The Span of a Set of Vectors
  2. Determinants to Find the Area of a Polygon
  3. Determinants to Find the Area of a Triangle
  4. Solving a 3 x 3 System of Equations Using the Inverse
  5. Determinant of a 2 x 2 Matrix - A Few Basic Questions
  6. Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors - Example 3
  7. Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors - Example 2
  8. Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors - Example 1
  9. Cramer's Rule to Solve a System of 3 Linear Equations - Example 2
  10. Cramer's Rule to Solve a System of 3 Linear Equations - Example 1
  11. Using Gauss-Jordan to Solve a System of Three Linear Equations - Example 2
  12. Using Gauss-Jordan to Solve a System of Three Linear Equations - Example 1
  13. Solving a Dependent System of Linear Equations involving 3 Variables
  14. Systems of Linear Equations - Inconsistent Systems Using Elimination by Addition - Example 3
  15. Systems of Linear Equations - Inconsistent Systems Using Elimination by Addition - Example 2
  16. Systems of Linear Equations - Inconsistent Systems Using Elimination by Addition - Example 1
  17. Solving a System of Equations Involving 3 Variables Using Elimination by Addition - Example 3
  18. Solving a System of Equations Involving 3 Variables Using Elimination by Addition - Example 2
  19. Solving a System of Equations Involving 3 Variables Using Elimination by Addition - Example 1
  20. Finding the Determinant of a 3 x 3 matrix
  21. Row Reducing a Matrix - Systems of Linear Equations - Part 2
  22. Row Reducing a Matrix - Systems of Linear Equations - Part 1
  23. Solving Systems of Equations Using Elimination By Addition
  24. Multiplying Matrices - Example 1
  25. Matrix Operations
  26. Orthogonal Projections - Scalar and Vector Projections
  27. An Introduction to the Dot Product
  28. Sketching Sums and Differences of Vectors
  29. Word Problems Involving Velocity or Other Forces (Vectors), Ex 3.
  30. Word Problems Involving Velocity or Other Forces (Vectors), Ex 2
  31. Word Problems Involving Velocity or Other Forces (Vectors), Ex 1
  32. Finding a Unit Vector, Ex 2
  33. Finding a Unit Vector, Ex 1
  34. Finding the Components of a Vector, Ex 2
  35. Finding the Components of a Vector, Ex 1
  36. Vector Addition and Scalar Multiplication, Example 2
  37. Vector Addition and Scalar Multiplication, Example 1
  38. Magnitude and Direction of a Vector, Example 3
  39. Magnitude and Direction of a Vector, Example 2
  40. Magnitude and Direction of a Vector, Example 1
  41. When Are Two Vectors Considered to Be the Same?
  42. An Introduction to Vectors, Part 1
  43. Finding the Vector Equation of a Line
  44. Vector Basics - Algebraic Representations Part 2
  45. Vector Basics - Algebraic Representations
  46. Vector Basics - Drawing Vectors/ Vector Addition
  47. Vectors - The Dot Product
  48. Vectors - Finding Magnitude or Length
  49. Linear Independence and Linear Dependence, Ex 2
  50. Linear Independence and Linear Dependence, Ex 1
  51. Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part 2
  52. Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part 1
  53. Useful Things to Remember About Linearly Independent Vectors
  54. Basis for a Set of Vectors
  55. Useful Things to Remember About Linearly Independent Vectors
  56. Procedure to Find a Basis for a Set of Vectors
  57. Linear Transformations , Example 1, Part 2 of 2
  58. Linear Transformations , Example 1, Part 1 of 2

Course Description

Patrick offers a series of 58 short lectures covering everything you need to know for elementary linear algebra. His lectures are well organized, and straight to the point. You will find it to be a great review for classes and exams.

Comments

There are no comments. Be the first to post one.
  Post comment as a guest user.
Click to login or register:
Your name:
Your email:
(will not appear)
Your comment:
(max. 1000 characters)
Are you human? (Sorry)