Worksheets — Set 12

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

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

Warm-up

1. Vector from (14, 15) to (17, 19): ⟨ , ⟩ ___ 2. Add ⟨15, −1⟩, ⟨16, 17⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨16, 17⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (13, 14) to (16, 18): ⟨ , ⟩ ___ 2. Add ⟨14, −1⟩, ⟨15, 16⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨15, 16⟩: ___ 4. Scalar multiply: 14⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (16, 17) to (19, 21): ⟨ , ⟩ ___ 8. Add ⟨17, −1⟩, ⟨18, 19⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨18, 19⟩: ___ 2. Scalar multiply: 17⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (19, 20) to (22, 24): ⟨ , ⟩ ___ 4. Add ⟨20, −1⟩, ⟨21, 22⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨21, 22⟩: ___ 6. Scalar multiply: 20⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (30, 31) to (33, 35): ⟨ , ⟩ ___ 2. Add ⟨31, −1⟩, ⟨32, 33⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨32, 33⟩: ___

_See printable PDF for diagram._

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Parent tip: Draw vectors with direction and magnitude