• #### Addition and Scalar Multiplication of Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the sum of two vectors or the product of a scalar and a vector.
• #### Addition and Scalar Multiplication of Vectors - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the difference of two vectors.
• #### Addition and Scalar Multiplication of Vectors - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the difference of two vectors using scalar multiplication to take the opposite vector.
• #### Addition and Scalar Multiplication of Vectors - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the difference of two vectors.
• #### 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.
• #### The Vector Equation of a Line - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to write the vector equation of a line.
• #### Adding Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to add vectors geometrically two ways.
• #### Unit Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
• #### 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.
• #### Unit Vectors - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to convert a vector into component form when it is expressed in terms of the unit vectors i and j.
• #### Adding Vectors - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to plot the sum of two vectors (one the opposite of the other) and find its magnitude.
• #### The Dot Product of Vectors - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the dot product of two vectors, and how to demonstrate that the dot product distributes over addition.
• #### Components of a Force - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to define the components of a vector.
• #### 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.
• #### Components of a Force - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to find the horizontal and vertical components of a force.
• #### The Resultant of Two Forces - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to find the resultant of two forces.
• #### 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 3

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

##### Math›Precalculus›Vectors and Parametric Equations
How we measure airspeed, wind, groundspeed, and other variables in navigation.