• #### Vector Quantities - Scalar Quantities

##### Science›Physics›Linear and Projectile Motion
Understanding the differences between vectors and scalar quantities.
• #### 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 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.
• #### Addition and Scalar Multiplication of Vectors - Problem 1

##### 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.
• #### Matrix Operations - Problem 2

##### Math›Algebra 2›Matrices
How to multiply matrices by a scalar multiple.
• #### Matrix Operations - Concept

##### Math›Algebra 2›Matrices
How to use simple matrix operations.
• #### Augmented Matrices - Concept

##### Math›Algebra 2›Matrices
How to use matrices to solve a system of linear equations.
• #### Augmented Matrices - Problem 1

##### Math›Algebra 2›Matrices
How to solve a system of linear equations using an augmented matrix.
• #### The Dot Product of Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the dot product of 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.
• #### Augmented Matrices - Problem 2

##### Math›Algebra 2›Matrices
How to solve a system of linear equations using an augmented matrix that yields no solution.
• #### 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.
• #### Augmented Matrices - Problem 3

##### Math›Algebra 2›Matrices
How to solve a system of linear equations using an augmented matrix that yields the same line.
• #### The Vector Equation of a Line - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to write the vector equation of a line.
• #### The Angle Between Planes - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to determine if two planes are parallel or perpendicular.
• #### The Angle Between Vectors - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to determine whether two vectors are perpendicular or parallel.
• #### 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 Dot Product of Vectors - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to compute the dot product of two vectors, and how to demonstrate that the dot product is commutative.