Worksheets — Set 17

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

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

Warm-up

1. Vector from (19, 20) to (22, 24): ⟨ , ⟩ ___ 2. Add ⟨20, −1⟩, ⟨21, 22⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨21, 22⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (18, 19) to (21, 23): ⟨ , ⟩ ___ 2. Add ⟨19, −1⟩, ⟨20, 21⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨20, 21⟩: ___ 4. Scalar multiply: 19⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (21, 22) to (24, 26): ⟨ , ⟩ ___ 8. Add ⟨22, −1⟩, ⟨23, 24⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨23, 24⟩: ___ 2. Scalar multiply: 22⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (24, 25) to (27, 29): ⟨ , ⟩ ___ 4. Add ⟨25, −1⟩, ⟨26, 27⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨26, 27⟩: ___ 6. Scalar multiply: 25⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (35, 36) to (38, 40): ⟨ , ⟩ ___ 2. Add ⟨36, −1⟩, ⟨37, 38⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨37, 38⟩: ___

_See printable PDF for diagram._

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Stretch

1. Vector from (43, 44) to (46, 48): ⟨ , ⟩ ___ 2. Add ⟨44, −1⟩, ⟨45, 46⟩ = ⟨ , ⟩ ___

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Parent tip: Draw vectors with direction and magnitude