Worksheets — Set 13

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

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

Warm-up

1. Vector from (15, 16) to (18, 20): ⟨ , ⟩ ___ 2. Add ⟨16, −1⟩, ⟨17, 18⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨17, 18⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (14, 15) to (17, 19): ⟨ , ⟩ ___ 2. Add ⟨15, −1⟩, ⟨16, 17⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨16, 17⟩: ___ 4. Scalar multiply: 15⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (17, 18) to (20, 22): ⟨ , ⟩ ___ 8. Add ⟨18, −1⟩, ⟨19, 20⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨19, 20⟩: ___ 2. Scalar multiply: 18⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (20, 21) to (23, 25): ⟨ , ⟩ ___ 4. Add ⟨21, −1⟩, ⟨22, 23⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨22, 23⟩: ___ 6. Scalar multiply: 21⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (31, 32) to (34, 36): ⟨ , ⟩ ___ 2. Add ⟨32, −1⟩, ⟨33, 34⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨33, 34⟩: ___

_See printable PDF for diagram._

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Parent tip: Draw vectors with direction and magnitude