• #### Vector Operations in 3D - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to perform vector operations like addition, scalar multiplication, the dot product, and finding the magnitude, in three dimensions.
• #### Vector Operations in 3D - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to find the angle between two vectors in three dimensions.
• #### Introduction to Planes - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to write an equation for the coordinate planes or any plane that is parallel to one.
• #### Introduction to Planes - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to write an equation for planes that contain one of the sides of a rectangular box.
• #### Introduction to the 3D Coordinate System - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to define the components and length of a position vector in three dimensions.
• #### The Midpoint and Distance Formulas in 3D - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
• #### The Midpoint and Distance Formulas in 3D - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to find the length and midpoint of a segment in three dimensions.
• #### Vector Operations in 3D - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to find the angle between two vectors in 3D, and how to tell whether two vectors are parallel or perpendicular.
• #### Introduction to the 3D Coordinate System - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to find the components of a vector from point A to point B in three-dimensions, and how to find its length.