Explanation

Vectors are added by adding components.

Addition:
⟨a, b⟩ + ⟨c, d⟩ = ⟨a + c, b + d⟩

Subtraction:
⟨a, b⟩ − ⟨c, d⟩ = ⟨a − c, b − d⟩

Geometrically:

• Tip-to-tail method

• Resultant vector connects start to end

Quiz

1. Add ⟨2, 3⟩ + ⟨−1, 4⟩.

2. Subtract ⟨5, 2⟩ − ⟨3, 7⟩.

3. Do you add x-components together?

4. Do you add y-components together?

5. What is the result called?

Answer Key

1. ⟨1, 7⟩

2. ⟨2, −5⟩

3. Yes

4. Yes

5. Resultant vector