RES.18-007 | Fall 2011 | Undergraduate

Calculus Revisited: Multivariable Calculus

Part I: Vector Arithmetic

Lecture 4: The Dot Product

Video Description: Herb Gross motivates the definition of the dot product: Work = Force x Distance. He also shows how to calculate the dot product of two vectors in 3-space. Other topics include projections, directional cosines, and the arithmetic structure of the dot product.

Instructor/speaker: Prof. Herbert Gross

Study Guide for Lecture 4: The Dot Product

  • Chalkboard Photos, Reading Assignments, and Exercises (PDF)
  • Solutions (PDF - 2.9MB)

To complete the reading assignments, see the Supplementary Notes in the Study Materials section.

Course Info

Fall 2011
Lecture Notes
Lecture Videos
Problem Set Solutions
Problem Sets