position vector planes 64 videos

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 
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 Angle Between Vectors
Precalculus Vectors and Parametric Equations
How to compute the angle between two vectors.
dot product angle between vectors position vectors 
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 
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 
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 
Vector Direction
Physics Linear and Projectile Motion
How to predict the direction of a vector.
vector direction magnitude velocity 
Velocity Vectors
Physics Linear and Projectile Motion
How to express velocity as a vector.
velocity vectors magnitude 
Components of Vectors
Physics Linear and Projectile Motion
Understanding the components of vectors.
vectors magnitude direction 
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 
Algebraic Representation of Vectors
Precalculus Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
position vector vector components horizontal component vertical component component form magnitude length 
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 
Position, Velocity and Acceleration
Calculus Antiderivatives and Differential Equations
How to solve position, velocity and acceleration problems using differentiation equations.
differential equations derivatives position velocity acceleration 
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 
Adding Vectors
Precalculus Vectors and Parametric Equations
How to add vectors geometrically two ways.
Displacement Vector Addition Head to Tail Method Parallelogram Method 
Vector Quantities  Scalar Quantities
Physics Linear and Projectile Motion
Understanding the differences between vectors and scalar quantities.
vector scalar quantities magnitude direction 
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 
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 
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