• #### The Geometric Representation of Vectors - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to plot a vector given its initial point and terminal point, and how to find its magnitude.
• #### The Geometric Representation of Vectors - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to plot a vector given its initial point and terminal point, and how to find its magnitude.
• #### The Geometric Representation of Vectors - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to plot a vector given its initial point and terminal point, and how to find its magnitude.
• #### Algebraic Representation of Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
• #### 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 Angle Between Vectors - Problem 4

##### Math›Precalculus›Vectors and Parametric Equations
How to derive the formula for the angle between two vectors.
• #### Unit Vectors - Concept

##### Math›Precalculus›Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
• #### 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.
• #### Unit Vectors - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to find a unit vector in any direction given the direction's angle.
• #### 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 Geometric Representation of Vectors - Concept

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

##### Science›Physics›Linear and Projectile Motion
Understanding the components of vectors.
• #### Velocity Vectors

##### Science›Physics›Linear and Projectile Motion
How to express velocity as a vector.
• #### Vector Operations in 3D - Problem 2

##### Math›Precalculus›Vectors and Parametric Equations
How to find the angle between two vectors 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.
• #### 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.
• #### Vector Direction

##### Science›Physics›Linear and Projectile Motion
How to predict the direction of a vector.
• #### The Dot Product of Vectors - Problem 3

##### Math›Precalculus›Vectors and Parametric Equations
How to prove that the dot product uu of a vector with itself equals the square of its magnitude abs(u)^2.
• #### Algebraic Representation of Vectors - Problem 1

##### Math›Precalculus›Vectors and Parametric Equations
How to express a vector from point Q to point R algebraically in component form <a,b>.