normal vector the angle between planes perpendicular planes dot product scalar multiple parallel planes 257 videos

The Angle Between Planes
Precalculus Vectors and Parametric Equations
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.
normal vector the angle between planes perpendicular planes dot product scalar multiple parallel planes 
Vectors and Planes
Precalculus Vectors and Parametric Equations
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
normal vector position vector perpendicular vectors planes the equation of a plane 
Parallel Planes and Lines
Geometry Geometry Building Blocks
How to identify parallel lines, a line parallel to a plane, and two parallel planes.
parallel lines skew plane 
Parallel Planes and Lines
Precalculus Equations of Lines, Parabolas and Circles
How to identify parallel lines, a line parallel to a plane, and two parallel planes.
parallel lines skew plane 
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 
The Complex Plane
Precalculus Polar Coordinates and Complex Numbers
How to plot complex numbers on the complex plane.
real numbers the number line complex numbers imaginary numbers the complex plane 
The Angle Between Vectors
Precalculus Vectors and Parametric Equations
How to compute the angle between two vectors.
dot product angle between vectors position vectors 
The Dot Product of Vectors
Precalculus Vectors and Parametric Equations
How to compute the dot product of two vectors.
vector components component form dot product scalar product 
Addition and Scalar Multiplication of Vectors
Precalculus Vectors and Parametric Equations
How to compute the sum of two vectors or the product of a scalar and a vector.
vector components horizontal component vertical component component form vector addition the zero vector scalar multiplication 
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 
Vector Quantities  Scalar Quantities
Physics Linear and Projectile Motion
Understanding the differences between vectors and scalar quantities.
vector scalar quantities magnitude direction 
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 
Perpendicular, Parallel and Skew Lines in Space
Precalculus Vectors and Parametric Equations
How to determine whether two lines in space are parallel or perpendicular.
perpendicular lines dot product direction vectors parallel lines scalar multiple skew lines 
Parallel and Perpendicular Lines
Algebra Linear Equations and Their Graphs
How to determine whether lines are parallel, perpendicular, or neither.
parallel perpendicular point slope form intersect right angle 
The Cross Product of Vectors
Precalculus Systems of Linear Equations and Matrices
How to compute the cross product of two 3D vectors.
unit vectors components cross product determinant 
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 
Graphing 2 Variable Inequalities
Precalculus Linear Equations and Inequalities
How to graph inequalities in the xy plane.
inequality y = mx+b Cartesian Coordinate plane shading 
Graphing 2 Variable Inequalities
Algebra Solving and Graphing Inequalities
How to graph inequalities in the xy plane.
inequality y = mx+b Cartesian Coordinate plane shading 
Unit Vectors
Precalculus Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
unit vectors length magnitude the unit vectors i and j vector addition scalar multiplication component form 
The Vector Equation of a Line
Precalculus Vectors and Parametric Equations
How to write the vector equation of a line.
position vector direction vector vector addition scalar multiple vector equation line