Worksheets — Set 11

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

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

Warm-up

1. Vector from (13, 14) to (16, 18): ⟨ , ⟩ ___ 2. Add ⟨14, −1⟩, ⟨15, 16⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨15, 16⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (12, 13) to (15, 17): ⟨ , ⟩ ___ 2. Add ⟨13, −1⟩, ⟨14, 15⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨14, 15⟩: ___ 4. Scalar multiply: 13⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (15, 16) to (18, 20): ⟨ , ⟩ ___ 8. Add ⟨16, −1⟩, ⟨17, 18⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨17, 18⟩: ___ 2. Scalar multiply: 16⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (18, 19) to (21, 23): ⟨ , ⟩ ___ 4. Add ⟨19, −1⟩, ⟨20, 21⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨20, 21⟩: ___ 6. Scalar multiply: 19⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (29, 30) to (32, 34): ⟨ , ⟩ ___ 2. Add ⟨30, −1⟩, ⟨31, 32⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨31, 32⟩: ___

_See printable PDF for diagram._

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Parent tip: Draw vectors with direction and magnitude