Mr Hickman's Class 2022-2023
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Trigonometry and Precalculus


Vector Mathematics


Types of Problems:

Basics of Vectors Guided Notes
  1. Sketching vectors
  2. Writing a vector in algebraic forms from two points
  3. Finding related unit vectors 
  4. Vector addition
  5. Vector subtraction
  6. Scalar multiplication
  7. Vector Operations
  8. Dot product of vectors
  9. Directional angle created by a single vector
  10. Angle formed between two vectors
  11. Parallel and Perpendicular vectors 

Homework/Practice

1-22-19 Guided Notes

Solutions

solutions
not available yet

Video and other resources

component vector app
vector addition app
vector addition app 2
vector addition app 3
vector subtraction app
vector subtraction app 2
scalar multiple app
dot product app
unit vector app
unit vector app 2
directional angle app
vector projection

HWK Basics of Vectors
1-22-19 Hwk
solutions
not available yet

Airplane Wind Vector Applications 

Wind applications to airplane
  1. Use bearing notation effectively
  2. Introduce polar notation
  3. Use law of Cosines and Sines to find unknown sides and angles of an oblique triangle
  4. Use wind and airplane vectors to plot actual course of plane 
  5. Describe actual course of plane using vector methods
Wind Applications Practice
ground speed example video
worked out Example 1
Worked out Example 2
worked out example 3

Vector Study Guide 2-6-19
  1. Writing a vector from two points
  2. Multiple representations of vectors 
  3. Drawing vectors, vector triangles, and resultant vectors 
  4. Determination of magnitude of vector
  5. Vector operations
  6. Dot products
  7. Smallest angle between two vectors 
  8. Applications of vectors in real life
this is the blank copy of study guide
2-6-19 vector study guide
this is worked out solutions for the study guide
2-6-19 Worked Out Solutions
This shows the drawings related to the study guide
2-6-19 support document

Additional Resources


Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you