The Cross Product of Two Vectors in Space
Lecture no. 10 from the course: Understanding Multivariable Calculus: Problems, Solutions, and Tips
Taught by Professor Bruce H. Edwards | 29 min | Categories: The Great Courses Plus Online Mathematics Courses
Take the cross product of two vectors by finding the determinant of a 3x3 matrix, yielding a third vector perpendicular to both. Explore the properties of this new vector using intuitive geometric examples. Then, combine it with the dot product from Lecture 9 to define the triple scalar product, and use it to evaluate the volume of a parallelepiped.