• #### The Cross Product of Vectors - Concept

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the cross product of two 3D vectors.
• #### The Cross Product of Vectors - Problem 2

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to show that the cross product of vectors u and v is perpendicular to both u and v.
• #### Area With the Cross Product - Concept

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to show that the magnitude of the cross product of two vectors gives the area of the parallelogram determined by those two vectors.
• #### Area With the Cross Product - Problem 1

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using the cross product of the vectors that determine it.
• #### The Cross Product of Vectors - Problem 1

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to show that when you reverse the order of a cross product, you get the opposite result.
• #### The Cross Product of Vectors - Problem 3

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to find the equation of a plane that contains three given points.
• #### Area With the Cross Product - Problem 3

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of a triangle in xyz-space using vectors formed from two of its sides.
• #### Area With the Cross Product - Problem 2

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of a triangle in the xy-plane using vectors formed from two of its sides.