Worksheets — Set 4

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

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

Warm-up

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

_See printable PDF for diagram._

Written practice

1. Vector from (5, 6) to (8, 10): ⟨ , ⟩ ___ 2. Add ⟨6, −1⟩, ⟨7, 8⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨7, 8⟩: ___ 4. Scalar multiply: 6⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (8, 9) to (11, 13): ⟨ , ⟩ ___ 8. Add ⟨9, −1⟩, ⟨10, 11⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨10, 11⟩: ___ 2. Scalar multiply: 9⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (11, 12) to (14, 16): ⟨ , ⟩ ___ 4. Add ⟨12, −1⟩, ⟨13, 14⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨13, 14⟩: ___ 6. Scalar multiply: 12⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (22, 23) to (25, 27): ⟨ , ⟩ ___ 2. Add ⟨23, −1⟩, ⟨24, 25⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨24, 25⟩: ___

_See printable PDF for diagram._

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Parent tip: Draw vectors with direction and magnitude