Worksheets — Set 19

Trigonometry · Honors · Vectors and applications (intro)

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

Warm-up

1. Vector from (21, 22) to (24, 26): ⟨ , ⟩ ___ 2. Add ⟨22, −1⟩, ⟨23, 24⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨23, 24⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (20, 21) to (23, 25): ⟨ , ⟩ ___ 2. Add ⟨21, −1⟩, ⟨22, 23⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨22, 23⟩: ___ 4. Scalar multiply: 21⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (23, 24) to (26, 28): ⟨ , ⟩ ___ 8. Add ⟨24, −1⟩, ⟨25, 26⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨25, 26⟩: ___ 2. Scalar multiply: 24⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (26, 27) to (29, 31): ⟨ , ⟩ ___ 4. Add ⟨27, −1⟩, ⟨28, 29⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨28, 29⟩: ___ 6. Scalar multiply: 27⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (37, 38) to (40, 42): ⟨ , ⟩ ___ 2. Add ⟨38, −1⟩, ⟨39, 40⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨39, 40⟩: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Stretch

1. Vector from (45, 46) to (48, 50): ⟨ , ⟩ ___ 2. Add ⟨46, −1⟩, ⟨47, 48⟩ = ⟨ , ⟩ ___

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Parent tip: Draw vectors with direction and magnitude