Worksheets — Set 2

Trigonometry · Honors · Vectors and applications (intro)

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

Warm-up

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

_See printable PDF for diagram._

Written practice

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

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More written practice

1. Magnitude of ⟨8, 9⟩: ___ 2. Scalar multiply: 7⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (9, 10) to (12, 14): ⟨ , ⟩ ___ 4. Add ⟨10, −1⟩, ⟨11, 12⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨11, 12⟩: ___ 6. Scalar multiply: 10⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (20, 21) to (23, 25): ⟨ , ⟩ ___ 2. Add ⟨21, −1⟩, ⟨22, 23⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨22, 23⟩: ___

_See printable PDF for diagram._

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Parent tip: Draw vectors with direction and magnitude