• #### Adding Vectors - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to plot the sum of two vectors and find its magnitude.
• #### Adding Vectors - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to plot the sum of two vectors and find its magnitude.
• #### The Angle Between Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the angle between two vectors.
• #### Adding Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to add vectors geometrically two ways.
• #### The Dot Product of Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the dot product of two vectors.
• #### The Angle Between Vectors - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the angle between two vectors.
• #### Unit Vectors - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to find the unit vector that has the same direction as a given vector.
• #### The Resultant of Two Forces - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to find the resultant of two forces.
• #### The Angle Between Vectors - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to compute one of the angles of a triangle when you are given the coordinates of its three vertices.
• #### 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 Angle Between Vectors - Problem 4

##### Math›Precalculus›Vectors and Parametric Equations
How to derive the formula for the angle between two vectors.
• #### The Angle Between Vectors - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to determine whether two vectors are perpendicular or parallel.
• #### Components of a Force - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to use the component of an object's weight parallel to the surface of an inclined plane to find the weight of the object.
• #### 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.
• #### Navigation Problems - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How we measure airspeed, wind, groundspeed, and other variables in navigation.
• #### The Angle Between Planes - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to determine if two planes are parallel or perpendicular.
• #### The Resultant of Two Forces - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to find the resultant of two forces when they are parallel, opposite, or perpendicular in direction.
• #### The Resultant of Two Forces - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to find the resultant of two forces.
• #### Unit Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
• #### The Geometric Representation of Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to understand what vectors are, and how they can be represented geometrically.