In this lecture, you will learn about important concepts in vector operations such as finding determinants and cross products, and their various applications. You will see how dot products can be used to find lengths, angles, and components of vectors along a given direction. You will also learn about the determinants of vectors and how they can be used to find the area of triangles and parallelograms in the plane, as well as the volume of solids in space. Finally, you will be introduced to cross products and their applications in finding the area of surfaces and determining orientation in space.
Learn about finding determinants and cross products of vectors and their applications.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 14, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.