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Find a vector a with representation given by the directed line segment ab. a(−4, −4), b(1, 5)

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Final answer:

To find the vector a with representation given by the directed line segment ab, subtract the coordinates of point a from point b. The resulting vector has components (5, 9).

Step-by-step explanation:

To find a vector a with representation given by the directed line segment ab, we subtract the coordinates of point a from point b. Point a has coordinates (-4, -4) and point b has coordinates (1, 5). Subtracting the x-coordinates and the y-coordinates separately, we get a vector with components (1 - (-4), 5 - (-4)). Simplifying, we get a vector with components (5, 9). Therefore, the vector a has representation (5, 9).

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