Calculating Resultant Vector: Methods and Examples, Exercises of Earth science

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RESULTANT VECTOR

Graphical Method

RESULTANT VECTOR

Analytical Method Opposite direction

Situation 1: Dan walks 10 m west and then 20 m east. Thus, negative west and positive east. Situation 2: Dan walks 10 m west and then 10 m east. Thus, negative west and positive east. RESULTANT VECTOR Component Method- appropriate to use for 2 or more vectors

Example: Dan leaves his house, walks 8 km/N due East and continues in a direction of 40 degrees North of East at 6 km/N and finally 4 km/N due South. What is his total distance and its direction? Given:

• 8 km, North
• 6 km at 40 degrees, North of East
• 4 km, South

r θ X y

8 km 90 degrees 0 8 6 km 40 degrees 4.59/4.60 3.85/3. 4 km 90 degrees 0 - = 4.59/4.60 = 7.85/7.

R =√( 4.60)

2

2 θ =tan−^1

R =71.65 θ =¿