Скачать или смотреть Find the Direction Vector of a Line

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Question: how do you find direction vectors of a line? (e.g., y=2x-1)


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Answered By:

Johnny M.
Mathematics Ph. D. Student
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Written Explanation:

Using your example as the line.y = 2x - 1Method 1 (Choosing 2 Points)Let A (0, -1) and B (1, 1) be two arbitrarily chosen points on the given line.The directional vector would be the vector that points from A to B.Vector AB = (1, 1) - (0, -1)Vector AB = i + 2jMethod 2 (Using Slope)For a two-dimensional line, recognizing that slope is rise over run or y-component over x-component, you can see the directional vector there as well.m = 2 / 1So, y-component is 2 so that's 2j while x-component is 1 so i.Directional Vector = i + 2jANSWER: Directional Vector = i + 2j
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