Worksheets — Set 10

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

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

Warm-up

1. Vector from (12, 13) to (15, 17): ⟨ , ⟩ ___ 2. Add ⟨13, −1⟩, ⟨14, 15⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨14, 15⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (11, 12) to (14, 16): ⟨ , ⟩ ___ 2. Add ⟨12, −1⟩, ⟨13, 14⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨13, 14⟩: ___ 4. Scalar multiply: 12⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (14, 15) to (17, 19): ⟨ , ⟩ ___ 8. Add ⟨15, −1⟩, ⟨16, 17⟩ = ⟨ , ⟩ ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Magnitude of ⟨16, 17⟩: ___ 2. Scalar multiply: 15⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (17, 18) to (20, 22): ⟨ , ⟩ ___ 4. Add ⟨18, −1⟩, ⟨19, 20⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨19, 20⟩: ___ 6. Scalar multiply: 18⟨1, −2⟩ = ⟨ , ⟩ = ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Vector from (28, 29) to (31, 33): ⟨ , ⟩ ___ 2. Add ⟨29, −1⟩, ⟨30, 31⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨30, 31⟩: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Draw vectors with direction and magnitude