Vector Tools
Figure 3.1- Scalar increase
Figure 3.1: Vector AB is given.
Circle C (center C) is not touching AB.
Using a compass and parallel line, vector CD is constructed equal to vector AB.
Figure 3.2 - Vector Sum
Figure 3.2: Vector AB and vector CD are given.
Circle E (center E) is used to construct vector EF equal to vector AB (same length and same direction).
Circle F (center F) is used to construct vector FG equal to vector CD (same length and same direction).
Question 3.2
Given that EF = AB and FG = CD, what does EG represent?
Figure 3.3 - Scale vector by 1/n
Extend line g from point B
Draw a circle around B with point D on g
Create the required n scalar value e.g. n =6 then 1/6AB requires 6DB
Drop a line from P_0 to A
Then Drop a parallel line from P_1, P_2, P_3, …, P_n to AB
This will cut AB into sections of 1/n
Question 3.3.1
Using a compass, describe how you would construct point P₂ on line BP₁ given point P₁.
Question 3.3.2
Explain why the parallel lines from P₁, P₂, P₃, …, Pₙ divide AB into n equal sections.