three dimensions 18 videos

Three States of Matter
Chemistry KineticMolecular Theory
The properties of the three phases of matter.
three states of matter solid liquid gas density fluidity viscosity surface tension 
Solving a Threepart Linear Inequality
Precalculus Linear Equations and Inequalities
How to solve a three part inequality.
interval notation inequality notation set builder notation three part inequality 
Solving a Threepart Linear Inequality
Algebra 2 Linear Inequalities
How to solve a three part inequality.
interval notation inequality notation set builder notation three part inequality 
Solving a Linear System in Three Variables with a Solution
Algebra 2 Systems of Linear Equations
How to solve a system of linear equations in three variables.
solving a system in three variables elimination substitution 
Solving a Linear System in Three Variables with no or Infinite Solutions
Algebra 2 Systems of Linear Equations
How to solve a system of linear equations in three variables that yields no, or many solutions.
solving a system in three variables elimination substitution 
Vector Operations in 3D
Precalculus Vectors and Parametric Equations
How to perform vector operations like addition, scalar multiplication, the dot product, and finding the magnitude, in three dimensions.
vectors components vector addition scalar multiplication the dot product the scalar product magnitude length three dimensions 
The Midpoint and Distance Formulas in 3D
Precalculus Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
position vectors the vector from point a to point b the midpoint formula vector addition scalar multiplication 
Square Matrices
Precalculus Systems of Linear Equations and Matrices
How to determine whether two matrices can be multiplied, and if so, what the dimensions of the product will be.
matrices rows columns dimension matrix multiplication 
Introduction to the 3D Coordinate System
Precalculus Vectors and Parametric Equations
How to define the components and length of a position vector in three dimensions.
axes coordinates position vector components magnitude length distance origin 
Introduction to Planes
Precalculus Vectors and Parametric Equations
How to write an equation for the coordinate planes or any plane that is parallel to one.
coordinate axes coordinate planes octants the first octant planes three dimensions 

Introduction to Matrices
Algebra 2 Matrices
How to talk about matrices.
matrix dimensions element row column 
Three Undefined Terms: Point, Line, and Plane
Geometry Geometry Building Blocks
How to describe and label point, line, and plane. How to define coplanar and collinear.
point line plane coplanar collinear 
Average Velocity
Calculus The Derivative
How to compute the average velocity of an object moving in one dimension.
average velocity position height time change in position change in time 
Simplifying Determinants
Precalculus Systems of Linear Equations and Matrices
How to simplify determinants using three row (or column) operations.
determinant row operations column operations interchanging rows common factors adding a multiple of one row to another 
Constructing Parallel Lines
Geometry Constructions
How to construct parallel lines using three different methods.
transversal duplicating angles corresponding alternate interior alternate exterior 
Optimization Using the Second Derivative Test
Calculus Applications of the Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.

Similar Triangles in Circles and Right Triangles
Geometry Similarity
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
similar inscribed angles intercepted arc right angle circle