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Vector and parametric equations of lines
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Learn it A line through point A with direction d: r = a + t·d. Parametric form: x = x₀ + at, y = y₀ + bt. Each value of t gives a point on the line, like a position at time t.
Example: A drone starts at (2, 5) and moves by (3, −1) each second. Where is it after 4 s?
- r = (2, 5) + 4(3, −1).
- = (14, 1).
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