Vector operations in two dimensions
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Intros
Examples
Lessons
- Perform tip-to-tail addition in two dimensions
A student arrives at school and from the entrance walks 20 m north to go to English. After, they walk 30 m east to physics class. What is their overall displacement? Answer with a vector diagram and a vector equation that describes the displacements.
- Solve vector additions graphically
Solve the following vector equations graphically:
i.
ii.
iii.
- Solve vector subtraction, multiplication, and division graphically
Solve the following vector equations graphically:
i.
ii.
iii.
- Write and draw the angles of vectors relative to compass directions
i. Write the vector using vector notation
ii. Draw the vector = 2.5 m [40° S of E] on a set of compass axes.
- Calculate two dimensional displacement with Trigonometry
A car drives at 13.8 m/s [W] for 115 s. It then turns left and travels south at 19.4 m/s for 135 s. Find the displacement of the car from its starting position.