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Phy2 001 vectors


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Phy2 001 vectors

  1. 1. Vectors
  2. 2. VectorsSurveyors use accurate measures ofmagnitudes and directions to create scaled maps of large regions.
  3. 3. Review: 1. What is a scalar? 2. Give some examples of scalars. 3. What is a vector? 4. Give some examples of vectors. 5. How do you represent a vector? 6. What is the denotation (how do you write) of a vector?
  4. 4. Review: Writing a vector1. Common direction2. Polar coordinate3. Rectangular coordinate
  5. 5. Review: Resultant1. What is a resultant?2. Finding the resultant using graphical solution.
  6. 6. Analytical Vector Resolution:Co-linear Vectors
  7. 7. Analytical Vector Resolution (cont…)1. Triangle method – for adding/subtracting TWO vectors. The Pythagorean Theorem and SohCahToa:
  8. 8. Components of Vectors A component is the effect of a vector along other directions. The x and y components of the vector are illustrated below. Finding components: Polar to Rectangular Conversions The Pythagorean Theorem and SohCahToa:
  9. 9. Addition and SubtractionSubtraction results in a significant differenceboth in the magnitude and the direction ofthe resultant vector. |(A – B)| = |A| - |B|Comparison of addition and subtraction of B R=A+B R’ = A - B B A R B R’ -B A A
  10. 10. Sample Problem: Polar Angle 140 -11.5 9.6 180 25.0 0 210 -15.6 -9.0 -2.1 0.6