Worksheets — Set 6

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

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

Warm-up

1. Vector from (8, 9) to (11, 13): ⟨ , ⟩ ___ 2. Add ⟨9, −1⟩, ⟨10, 11⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨10, 11⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (7, 8) to (10, 12): ⟨ , ⟩ ___ 2. Add ⟨8, −1⟩, ⟨9, 10⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨9, 10⟩: ___ 4. Scalar multiply: 8⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (10, 11) to (13, 15): ⟨ , ⟩ ___ 8. Add ⟨11, −1⟩, ⟨12, 13⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨12, 13⟩: ___ 2. Scalar multiply: 11⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (13, 14) to (16, 18): ⟨ , ⟩ ___ 4. Add ⟨14, −1⟩, ⟨15, 16⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨15, 16⟩: ___ 6. Scalar multiply: 14⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (24, 25) to (27, 29): ⟨ , ⟩ ___ 2. Add ⟨25, −1⟩, ⟨26, 27⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨26, 27⟩: ___

_See printable PDF for diagram._

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Parent tip: Draw vectors with direction and magnitude