course_planning:pre_lecture:vectors

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course_planning:pre_lecture:vectors [2014/06/19 18:32] – created caballerocourse_planning:pre_lecture:vectors [2014/06/22 07:23] (current) – pwirving
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 ==== Pre-lecture Video ==== ==== Pre-lecture Video ====
 +
 +** This takes DC about 9 minutes to deliver. **
  
   - Start with verbal definitions   - Start with verbal definitions
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     - Define vector (physical quantity represented by number and direction - size and orientation)     - 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)       - 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   - Mathematical representation in 3D
     - Components of the vector (how much of the vector is in each direction)     - Components of the vector (how much of the vector is in each direction)
-    - Means you need a coordinate system 
   - Shift to 2D vector (easier to draw)   - Shift to 2D vector (easier to draw)
-    - Mathematical representation 
     - Graphical representation (draw big)     - Graphical representation (draw big)
       - Vector components can be measured from reference point (origin or elsewhere)       - Vector components can be measured from reference point (origin or elsewhere)
 +      - Mathematical representation
       - Magnitude can be computed (Pythag)       - Magnitude can be computed (Pythag)
       - Orientation can be computed (trig, defined from +x; so be careful)       - 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)       - Can also get components from mag and orientation (trig, defined from +x, so again be careful)
-    - Every vector has a unit vector 
-      - Conceptual description (mag of 1; same direction) 
-      - Mathematical representation 
-      - Vector can be written as product of magnitude and unit vector (This will be useful in the future) 
     - Finally, adding and subtracting vectors     - Finally, adding and subtracting vectors
 +      - Graphically, tip to tail method (show addition)      
       - Mathematically, add or subtract scalar components (show addition)       - Mathematically, add or subtract scalar components (show addition)
-      - Graphically, tip to tail method (show subtraction) +    - Some additional notes are online including unit vectors and vector subtraction 
-    - Some additional notes are online+ 
 +==== 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 ==== 
 + 
 +{{youtube>a0Km-66BGDo?large}} 
 + 
  • course_planning/pre_lecture/vectors.1403202727.txt.gz
  • Last modified: 2014/06/19 18:32
  • by caballero