Worksheets — Set 1

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

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

Warm-up

1. Vector from (3, 4) to (6, 8): ⟨ , ⟩ ___ 2. Add ⟨4, −1⟩, ⟨5, 6⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨5, 6⟩: ___

_See printable PDF for diagram._

Written practice

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

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More written practice

1. Magnitude of ⟨7, 8⟩: ___ 2. Scalar multiply: 6⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (8, 9) to (11, 13): ⟨ , ⟩ ___ 4. Add ⟨9, −1⟩, ⟨10, 11⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨10, 11⟩: ___ 6. Scalar multiply: 9⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

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

_See printable PDF for diagram._

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Parent tip: Draw vectors with direction and magnitude