Session 7: Cross Products

• Course Home
• Syllabus
• 1. Vectors and Matrices

  • Part A: Vectors, Determinants and Planes
  • Part B: Matrices and Systems of Equations
  • Part C: Parametric Equations for Curves
  • Exam 1
• 2. Partial Derivatives

  • Part A: Functions of Two Variables, Tangent Approximation and Opt
  • Part B: Chain Rule, Gradient and Directional Derivatives
  • Part C: Lagrange Multipliers and Constrained Differentials
  • Exam 2
• 3. Double Integrals and Line Integrals in the Plane

  • Part A: Double Integrals
  • Part B: Vector Fields and Line Integrals
  • Part C: Green's Theorem
  • Exam 3
• 4. Triple Integrals and Surface Integrals in 3-Space

  • Part A: Triple Integrals
  • Part B: Flux and the Divergence Theorem
  • Part C: Line Integrals and Stokes' Theorem
  • Exam 4
  • Physics Applications
• Final Exam

  • Practice Final Exam
  • Review
  • Final Exam
• Download Course Materials

« Previous | Next »

 

Overview

In this session you will:

• Watch two lecture video clips and read board notes
• Read course notes and examples
• Watch a recitation video
• Read course notes
• Do problems and use solutions to check your work

Lecture Video

Video Excerpts

Flash and JavaScript are required for this feature.

» Clip 1: Cross Products (15 min)

From Lecture 2 of 18.02 Multivariable Calculus, Fall 2007

» Clip 2: More on Cross Products (5 min)

From Lecture 3 of 18.02 Multivariable Calculus, Fall 2007

Download the complete lectures from this course:

» iTunes U
» Internet Archive

The following images show the chalkboard contents from these video excerpts. Click each image to enlarge.

Reading and Examples

Cross Product (PDF)

Recitation Video

Area Using Cross Product

Flash and JavaScript are required for this feature.

Download this video:
» iTunes U (MP4 - 11MB)
» Internet Archive (MP4 - 11MB)
» Transcript (PDF)

Problems and Solutions

Problems: Cross Products (PDF)

Solutions (PDF)

« Previous | Next »