Worksheets — Set 15

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

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

Warm-up

1. Vector from (17, 18) to (20, 22): ⟨ , ⟩ ___ 2. Add ⟨18, −1⟩, ⟨19, 20⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨19, 20⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (16, 17) to (19, 21): ⟨ , ⟩ ___ 2. Add ⟨17, −1⟩, ⟨18, 19⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨18, 19⟩: ___ 4. Scalar multiply: 17⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (19, 20) to (22, 24): ⟨ , ⟩ ___ 8. Add ⟨20, −1⟩, ⟨21, 22⟩ = ⟨ , ⟩ ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Magnitude of ⟨21, 22⟩: ___ 2. Scalar multiply: 20⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (22, 23) to (25, 27): ⟨ , ⟩ ___ 4. Add ⟨23, −1⟩, ⟨24, 25⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨24, 25⟩: ___ 6. Scalar multiply: 23⟨1, −2⟩ = ⟨ , ⟩ = ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Vector from (33, 34) to (36, 38): ⟨ , ⟩ ___ 2. Add ⟨34, −1⟩, ⟨35, 36⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨35, 36⟩: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Draw vectors with direction and magnitude