1. Vectors

2. Vectors
Surveyors use accurate measures of
magnitudes and directions to create
scaled maps of large regions.

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. Review: Writing a vector
1. Common direction
2. Polar coordinate
3. Rectangular coordinate

5. Review: Resultant
1. What is a resultant?
2. Finding the resultant using graphical
solution.

6. Analytical Vector Resolution:
Co-linear Vectors

7. Analytical Vector Resolution (cont…)
1. Triangle method – for adding/subtracting TWO
vectors.
The Pythagorean Theorem and SohCahToa:

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:

10. Addition and Subtraction
Subtraction results in a significant difference
both in the magnitude and the direction of
the 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

11. Sample Problem:
Polar Angle
140 -11.5 9.6
180 25.0 0
210 -15.6 -9.0
-2.1 0.6