The document describes different methods for calculating the resultant vector of multiple displacements or forces, including: 1) The polygon method, which involves drawing vectors representing each displacement on a scale diagram and connecting them to find the resultant. 2) The component method, which breaks vectors down into their x and y components to calculate the resultant. 3) The pythagorean theorem method, which uses the theorem to calculate the magnitude of the resultant when its components are at right angles to each other.

1. Getting Vector
Resultant Using
Polygon Method

2. Example #1
O Erik walks 600m East, then turns 400m North
and finally walks 300mWest. Find its
resultant vector. (Scale: 1 cm : 100m)
A = 600m
B=400m
C = 300m
54°

3. Assignment#1
OA hiker walks 50m East, then 200m South and
finally 400m West. What is the resultant
displacement of the hiker from starting point?
(Scale 1cm = 50m)
A = 50m
B=200m
C = 400m

4. Vector Resolution
O Same Direction
O Opposite Direction
O Pythagorean Theorem
O Component Method

5. Same Direction
O Example:
A = 20m/s East
B = 20m/s East

6. Opposite Direction
O Example:
A = 15m North
B = 28m South

7. Pythagorean Theorem
O Example:
A = 6 newtons E
B = 5 newtons N

8. Component Method
O An ant crawls on a tabletop. It moves 2cm
East, turns 3cm 40ºNorth of East and
finally moves 2.5cm North. What is the
ant’s total displacement?