vector addition 49 videos

Solving and Graphing Inequalities using Addition or Subtraction
Algebra Solving and Graphing Inequalities
How to solve and graph one variable inequalities using addition or subtraction.
inequality notation 
Lines in 3D
Precalculus Vectors and Parametric Equations
How to find the vector and parametric equations of a line when given two points on the line.
the vector equation of a line position vectors direction vector parametric equations 
Area With the Cross Product
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.
cross product magnitude of vectors dot product angle between vectors area parallelogram 
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 
The Cosine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the cosine of a difference formula.
the unit circle the law of cosines the distance formula cosine of a difference formula 
The Sine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the sine of a sum formula.
cosine of a difference formula the cofunction identities the sine of a sum formula 
Addition and Subtraction with Mixed Numbers
PreAlgebra Fractions and MIxed Numbers
Adding or subtracting mixed numbers by either converting them to improper fractions or working with the integer part and the fractional part separately

Addition and Subtraction with Decimals
PreAlgebra Decimals and Percents
Adding or subtracting decimals by vertically lining up the zeros

The Cosine Addition Formulas
Trigonometry Advanced Trigonometry
How to derive the cosine of a difference formula.
the unit circle the law of cosines the distance formula cosine of a difference formula 
The Sine Addition Formulas
Trigonometry Advanced Trigonometry
How to derive the sine of a sum formula.
cosine of a difference formula the cofunction identities the sine of a sum formula 
The Resultant of Two Forces
Precalculus Vectors and Parametric Equations
How to find the resultant of two forces when they are parallel, opposite, or perpendicular in direction.
Forces Resultant Vector Addition Magnitude Direction The Pythagorean Theorem 
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 
Displacement
Physics Linear and Projectile Motion
An explanation of displacement.
displacement distance vector 
Gravitational Fields
Physics Gravitation
Understanding and predicting gravitational fields.
gravitational field vector 
Area With Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using a determinant.
parallelogram vectors determinant area 
Navigation Problems
Precalculus Vectors and Parametric Equations
How we measure airspeed, wind, groundspeed, and other variables in navigation.
navigation airplane flight airspeed heading groundspeed course wind speed wind direction vector addition magnitude direction 
Commutative, Associative
PreAlgebra Properties of Numbers
Overview of the commutative and associative properties for addition and multiplication

Distributive
PreAlgebra Properties of Numbers
Introduction to the distributive property of multiplication over addition or subtraction

Solving Systems of Equations using Elimination
Algebra Solving Systems of Equations
How to solve a system of equations using elimination.
system of equations coefficient elimination additive inverse