• Vector Quantities - Scalar Quantities

Science›Physics›Linear and Projectile Motion
Understanding the differences between vectors and scalar quantities.
• 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.
• The Cross Product of Vectors - Problem 3

Math›Precalculus›Systems of Linear Equations and Matrices
How to find the equation of a plane that contains three given points.
• The Cross Product of Vectors - Problem 2

Math›Precalculus›Systems of Linear Equations and Matrices
How to show that the cross product of vectors u and v is perpendicular to both u and v.
• Lines in 3D - Problem 3

Math›Precalculus›Vectors and Parametric Equations
How to find the point where a line passes through the xy-plane given the vector equation of the line.
• Lines in 3D - Concept

Math›Precalculus›Vectors and Parametric Equations
How to find the vector and parametric equations of a line when given two points on the line.
• The Cross Product of Vectors - Concept

Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the cross product of two 3D vectors.
• Lines in 3D - Problem 1

Math›Precalculus›Vectors and Parametric Equations
How to find the vector equation, the parametric equations, and the symmetric equation of a line given two points on the line.
• The Cross Product of Vectors - Problem 1

Math›Precalculus›Systems of Linear Equations and Matrices
How to show that when you reverse the order of a cross product, you get the opposite result.
• 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 - Concept

Math›Precalculus›Vectors and Parametric Equations
How to define the components of a vector.
• Introduction to the 3D Coordinate System - Problem 3

Math›Precalculus›Vectors and Parametric Equations
How to find the components of a vector from point A to point B in three-dimensions, and how to find its length.
• Lines in 3D - Problem 2

Math›Precalculus›Vectors and Parametric Equations
How to find the vector equation of a line parallel to a given line L that passes through a given point not on L.
• 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.
• Perpendicular, Parallel and Skew Lines in Space - Problem 1

Math›Precalculus›Vectors and Parametric Equations
How to find the equation of a line parallel to and perpendicular to a given line in space.
• Parametrizing a Line Segment - Problem 3

Math›Precalculus›Vectors and Parametric Equations
How to find a parametrization of segment AB that uses s, the distance from point A, as a parameter.
• The Midpoint and Distance Formulas in 3D - Problem 3

Math›Precalculus›Vectors and Parametric Equations
How to find the equation of the set of points equidistant from two given points.
• 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 3

Math›Precalculus›Vectors and Parametric Equations
How to find the resultant of two forces.
• Components of a Force - Problem 2

Math›Precalculus›Vectors and Parametric Equations
How to find the components of the weight of a block parallel to and perpendicular to the surface of an inclined plane.