• 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.
• 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.
• 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.
• Area With the Cross Product - Concept

Math›Precalculus›Systems of Linear Equations and Matrices
How to show that the magnitude of the cross product of two vectors gives the area of the parallelogram determined by those two vectors.
• 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.
• Velocity Vectors

Science›Physics›Linear and Projectile Motion
How to express velocity as a vector.
• Components of Vectors

Science›Physics›Linear and Projectile Motion
Understanding the components of vectors.
• Vector Direction

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

Math›Precalculus›Vectors and Parametric Equations
How to plot the sum of two vectors and find its magnitude.
• Adding Vectors - Problem 1

Math›Precalculus›Vectors and Parametric Equations
How to plot the sum of two vectors and find its magnitude.
• 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 4

Math›Precalculus›Vectors and Parametric Equations
How to derive the formula for the angle between two vectors.
• 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.
• The Definitions of Sine and Cosine - Problem 4

Math›Precalculus›Trigonometric Functions
How to determine the magnitude of sine or cosine using a unit circle diagram.
• 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 Definitions of Sine and Cosine - Problem 4

Math›Trigonometry›Trigonometric Functions
How to determine the magnitude of sine or cosine using a unit circle diagram.
• 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 Resultant of Two Forces - Problem 1

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