position vectors 49 videos
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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 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 -
Mechanical Energy
Physics Energy and Momentum
Understanding and recognizing mechanical energy.
mechanical energy position movement -
Average Velocity
Calculus The Derivative
How to compute the average velocity of an object moving in one dimension.
average velocity position height time change in position change in time -
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 -
Multiplication and Division
Pre-Algebra Integers
Learn how to multiply and divide positive and negative numbers.
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Homeostasis
Biology Cell Functions and Processes
The definition and importance of homeostasis.
homeostasis equilibrium negative feedback positive feedback -
Scatterplots and Correlations
Algebra Introduction to Statistics
How to identify positive correlations, negative correlations, or no correlation between two variables.
scatterplot correlation trend line line of best fit -
Applications
Pre-Algebra Integers
Real word situations that involve operations on positive and negative numbers
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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 -
Instantaneous Velocity
Calculus The Derivative
How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time.
average velocity instantaneous velocity change in position change in time limits -
Evaluating Sine and Cosine at Special Acute Angles
Trigonometry Trigonometric Functions
How do we measure sine and cosine of pi/4?
sine cosine unit circle definitions of sine and cosine angles in standard position -
Evaluating Sine and Cosine at Special Acute Angles
Precalculus Trigonometric Functions
How do we measure sine and cosine of pi/4?
sine cosine unit circle definitions of sine and cosine angles in standard position -
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 -
Optimization Using the Second Derivative Test
Calculus Applications of the Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.
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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
