Worksheets — Set 18

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

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

Warm-up

1. Vector from (20, 21) to (23, 25): ⟨ , ⟩ ___ 2. Add ⟨21, −1⟩, ⟨22, 23⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨22, 23⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (19, 20) to (22, 24): ⟨ , ⟩ ___ 2. Add ⟨20, −1⟩, ⟨21, 22⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨21, 22⟩: ___ 4. Scalar multiply: 20⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (22, 23) to (25, 27): ⟨ , ⟩ ___ 8. Add ⟨23, −1⟩, ⟨24, 25⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨24, 25⟩: ___ 2. Scalar multiply: 23⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (25, 26) to (28, 30): ⟨ , ⟩ ___ 4. Add ⟨26, −1⟩, ⟨27, 28⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨27, 28⟩: ___ 6. Scalar multiply: 26⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (36, 37) to (39, 41): ⟨ , ⟩ ___ 2. Add ⟨37, −1⟩, ⟨38, 39⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨38, 39⟩: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Stretch

1. Vector from (44, 45) to (47, 49): ⟨ , ⟩ ___ 2. Add ⟨45, −1⟩, ⟨46, 47⟩ = ⟨ , ⟩ ___

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Parent tip: Draw vectors with direction and magnitude