Worksheets — Set 5

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

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

Warm-up

1. Vector from (7, 8) to (10, 12): ⟨ , ⟩ ___ 2. Add ⟨8, −1⟩, ⟨9, 10⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨9, 10⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (6, 7) to (9, 11): ⟨ , ⟩ ___ 2. Add ⟨7, −1⟩, ⟨8, 9⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨8, 9⟩: ___ 4. Scalar multiply: 7⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (9, 10) to (12, 14): ⟨ , ⟩ ___ 8. Add ⟨10, −1⟩, ⟨11, 12⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨11, 12⟩: ___ 2. Scalar multiply: 10⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (12, 13) to (15, 17): ⟨ , ⟩ ___ 4. Add ⟨13, −1⟩, ⟨14, 15⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨14, 15⟩: ___ 6. Scalar multiply: 13⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (23, 24) to (26, 28): ⟨ , ⟩ ___ 2. Add ⟨24, −1⟩, ⟨25, 26⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨25, 26⟩: ___

_See printable PDF for diagram._

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Parent tip: Draw vectors with direction and magnitude