===== Vectors & Scalars =====

==== Pre-lecture Video ====

** This takes DC about 9 minutes to deliver. **

  - Start with verbal definitions
    - Define scalar (physical quantity represented by just a number)
      - Give examples (mass, volume, and density)
    - Define vector (physical quantity represented by number and direction - size and orientation)
      - Give examples (velocity (traveling along Grand River to the east at 40 mph), accel, forces)
  - Picture of a vector
    - Similarity of two vectors
  - Mathematical representation in 3D
    - Components of the vector (how much of the vector is in each direction)
  - Shift to 2D vector (easier to draw)
    - Graphical representation (draw big)
      - Vector components can be measured from reference point (origin or elsewhere)
      - Mathematical representation
      - Magnitude can be computed (Pythag)
      - Orientation can be computed (trig, defined from +x; so be careful)
      - Can also get components from mag and orientation (trig, defined from +x, so again be careful)
    - Finally, adding and subtracting vectors
      - Graphically, tip to tail method (show addition)      
      - Mathematically, add or subtract scalar components (show addition)
    - Some additional notes are online including unit vectors and vector subtraction

==== Possible Conceptual Homework ====

  * From {{:course_planning:course_notes:phy183_lecture_week2_f2013.pdf|PHY183_Lecture_Week2_F2013}}: 
    * 1-2, 1-3, 1-4, 1-5

==== Pre-Lecture - Scalars and Vectors ====

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