Worksheets — Set 3

Pre-calculus · Honors · Parametric, polar, and vector representations

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Vector from (5, 6) to (8, 10): ⟨ , ⟩ ___ 2. Add ⟨6, −1⟩, ⟨7, 8⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨7, 8⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (4, 5) to (7, 9): ⟨ , ⟩ ___ 2. Add ⟨5, −1⟩, ⟨6, 7⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨6, 7⟩: ___ 4. Scalar multiply: 5⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (7, 8) to (10, 12): ⟨ , ⟩ ___ 8. Add ⟨8, −1⟩, ⟨9, 10⟩ = ⟨ , ⟩ ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Magnitude of ⟨9, 10⟩: ___ 2. Scalar multiply: 8⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (10, 11) to (13, 15): ⟨ , ⟩ ___ 4. Add ⟨11, −1⟩, ⟨12, 13⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨12, 13⟩: ___ 6. Scalar multiply: 11⟨1, −2⟩ = ⟨ , ⟩ = ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Vector from (21, 22) to (24, 26): ⟨ , ⟩ ___ 2. Add ⟨22, −1⟩, ⟨23, 24⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨23, 24⟩: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Draw vectors with direction and magnitude