Worksheets — Set 9

Trigonometry · Honors · Vectors and applications (intro)

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

Warm-up

1. Vector from (11, 12) to (14, 16): ⟨ , ⟩ ___ 2. Add ⟨12, −1⟩, ⟨13, 14⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨13, 14⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (10, 11) to (13, 15): ⟨ , ⟩ ___ 2. Add ⟨11, −1⟩, ⟨12, 13⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨12, 13⟩: ___ 4. Scalar multiply: 11⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (13, 14) to (16, 18): ⟨ , ⟩ ___ 8. Add ⟨14, −1⟩, ⟨15, 16⟩ = ⟨ , ⟩ ___

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More written practice

1. Magnitude of ⟨15, 16⟩: ___ 2. Scalar multiply: 14⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (16, 17) to (19, 21): ⟨ , ⟩ ___ 4. Add ⟨17, −1⟩, ⟨18, 19⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨18, 19⟩: ___ 6. Scalar multiply: 17⟨1, −2⟩ = ⟨ , ⟩ = ___

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Patterns and rules

1. Vector from (27, 28) to (30, 32): ⟨ , ⟩ ___ 2. Add ⟨28, −1⟩, ⟨29, 30⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨29, 30⟩: ___

_See printable PDF for diagram._

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Parent tip: Draw vectors with direction and magnitude