sphere center origin radius position vector magnitude length 113 videos

Surface Area of Spheres
Geometry Volume
How to calculate the surface area of a sphere given a radius.
sphere surface area radius 
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 
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 
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 
Arc Length
Geometry Circles
How to define arc length and how it is different from arc measure; how to calculate the length of an arc.
arc length arc measure concentric circles fraction circumference radius diameter 

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 
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 
Vector Quantities  Scalar Quantities
Physics Linear and Projectile Motion
Understanding the differences between vectors and scalar quantities.
vector scalar quantities magnitude direction 
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 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 
Locus and Definition of a Circle and Sphere
Geometry Circles
How to define a circle and a sphere using the word locus.
locus set of points distance plane circle sphere given 
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 
The Geometric Representation of Vectors
Precalculus Vectors and Parametric Equations
How to understand what vectors are, and how they can be represented geometrically.
Magnitude Direction Scalar Vector Directed Line Segment Initial Point Terminal Point