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Precalculus Flashcards: Solving Problems With Vectors And Velocity

Study Solving Problems With Vectors And Velocity in Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

With r⃗0=⟨1,2⟩\vec{r}_0=\langle 1,2\rangle and v⃗=⟨3,−1⟩\vec{v}=\langle 3,-1\rangle, what is r⃗(4)\vec{r}(4)?

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ANSWER

⟨13,−2⟩\langle 13,-2\rangle. ⟨1,2⟩+4⟨3,−1⟩=⟨1+12,2−4⟩\langle 1,2\rangle+4\langle 3,-1\rangle=\langle 1+12,2-4\rangle.

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Precalculus: Vector Quantities & Models

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This deck focuses on Solving Problems With Vectors And Velocity, giving you a quick way to review the definitions, rules, and examples that matter most for Precalculus.

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Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 44Practice questions for this set
In this scenario, a swimmer can swim at v⃗swim=4 m/s\vec v_{\text{swim}}=4\ \text{m/s} due north relative to the water, while the river current is v⃗current=3 m/s\vec v_{\text{current}}=3\ \text{m/s} due east. What is the swimmer's actual velocity relative to the ground (magnitude and direction)?
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