Worksheets — Set 16

Trigonometry · Honors · Vectors and applications (intro)

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

Warm-up

1. Vector from (18, 19) to (21, 23): ⟨ , ⟩ ___ 2. Add ⟨19, −1⟩, ⟨20, 21⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨20, 21⟩: ___

_See printable PDF for diagram._

Written practice

1. Vector from (17, 18) to (20, 22): ⟨ , ⟩ ___ 2. Add ⟨18, −1⟩, ⟨19, 20⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨19, 20⟩: ___ 4. Scalar multiply: 18⟨1, −2⟩ = ⟨ , ⟩ = ___ 5. Matrix addition (if defined): show dimensions. 6. Interpret a vector in context (displacement). 7. Vector from (20, 21) to (23, 25): ⟨ , ⟩ ___ 8. Add ⟨21, −1⟩, ⟨22, 23⟩ = ⟨ , ⟩ ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Magnitude of ⟨22, 23⟩: ___ 2. Scalar multiply: 21⟨1, −2⟩ = ⟨ , ⟩ = ___ 3. Vector from (23, 24) to (26, 28): ⟨ , ⟩ ___ 4. Add ⟨24, −1⟩, ⟨25, 26⟩ = ⟨ , ⟩ ___ 5. Magnitude of ⟨25, 26⟩: ___ 6. Scalar multiply: 24⟨1, −2⟩ = ⟨ , ⟩ = ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Vector from (34, 35) to (37, 39): ⟨ , ⟩ ___ 2. Add ⟨35, −1⟩, ⟨36, 37⟩ = ⟨ , ⟩ ___ 3. Magnitude of ⟨36, 37⟩: ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Stretch

1. Vector from (42, 43) to (45, 47): ⟨ , ⟩ ___ 2. Add ⟨43, −1⟩, ⟨44, 45⟩ = ⟨ , ⟩ ___

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Draw vectors with direction and magnitude