VectorsSurveyors use accurate measures ofmagnitudes and directions to create scaled maps of large regions.
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?
Review: Writing a vector1. Common direction2. Polar coordinate3. Rectangular coordinate
Review: Resultant1. What is a resultant?2. Finding the resultant using graphical solution.
Analytical Vector Resolution (cont…)1. Triangle method – for adding/subtracting TWO vectors. The Pythagorean Theorem and SohCahToa:
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:
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