vector equation distance line segment direction vector scalar multiplication parametric equations arc length parametrization 330 videos

Parametrizing a Line Segment
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a line segment that goes from point A to point B.
vector equation line segment parametric equations 
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 
Vector Direction
Physics Linear and Projectile Motion
How to predict the direction of a vector.
vector direction magnitude velocity 
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 
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 
Vector Quantities  Scalar Quantities
Physics Linear and Projectile Motion
Understanding the differences between vectors and scalar quantities.
vector scalar quantities magnitude direction 
Parametric Equations and Motion
Precalculus Vectors and Parametric Equations
How to graph a parametric curve, and how to eliminate the parameter to obtain a rectangular equation for the curve.
position time parametric equations path rectangular equation eliminating the parameter square root function direction of motion 
Parametrizing a Circle
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a circle centered at (0,0) with radius r, oriented counterclockwise.
the unit circle cosine sine parametrization parametric equations circle counter clockwise 
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 
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 
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 
Components of Vectors
Physics Linear and Projectile Motion
Understanding the components of vectors.
vectors 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 
Velocity Vectors
Physics Linear and Projectile Motion
How to express velocity as a vector.
velocity vectors magnitude 
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 
Motion Along a Line
Precalculus Vectors and Parametric Equations
How to write equations describing motion in a straight line given the velocity and the position when t=0.
velocity constant velocity position vector equation of a line parametric equations parametric equations of a line 
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 
Adding Vectors
Precalculus Vectors and Parametric Equations
How to add vectors geometrically two ways.
Displacement Vector Addition Head to Tail Method Parallelogram Method 
Line Segments
Geometry Geometry Building Blocks
How to define and label a line segment.
line endpoint points