Worksheets — Set 20
Pre-calculus · Honors · Parametric, polar, and vector representations
Print and write your answers. Use diagrams to show thinking.
Warm-up
1. Vector from (22, 23) to (25, 27): ⟨ , ⟩ ___ 2. Add ⟨23, −1⟩, ⟨24, 25⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨24, 25⟩: ___
_See printable PDF for diagram._
Written practice
1. Vector from (21, 22) to (24, 26): ⟨ , ⟩ ___ 2. Add ⟨22, −1⟩, ⟨23, 24⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨23, 24⟩: ___ 4. Scalar multiply: 22⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (24, 25) to (27, 29): ⟨ , ⟩ ___ 8. Add ⟨25, −1⟩, ⟨26, 27⟩ = ⟨ , ⟩ ___
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More written practice
1. Magnitude of ⟨26, 27⟩: ___ 2. Scalar multiply: 25⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (27, 28) to (30, 32): ⟨ , ⟩ ___ 4. Add ⟨28, −1⟩, ⟨29, 30⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨29, 30⟩: ___ 6. Scalar multiply: 28⟨1, −2⟩ = ⟨ , ⟩ = ___
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Patterns and rules
1. Vector from (38, 39) to (41, 43): ⟨ , ⟩ ___ 2. Add ⟨39, −1⟩, ⟨40, 41⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨40, 41⟩: ___
_See printable PDF for diagram._
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Stretch
1. Vector from (46, 47) to (49, 51): ⟨ , ⟩ ___ 2. Add ⟨47, −1⟩, ⟨48, 49⟩ = ⟨ , ⟩ ___
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Parent tip: Draw vectors with direction and magnitude