Long description: Fig37114

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A two-dimensional grid shows several vectors illustrating the vector field \(\underline{v} = x\underline{i} + 2\underline{j}\).

Alt text: A two-dimensional grid shows several vectors illustrating the vector field \(\underline{v} = x\underline{i} + 2\underline{j}\).

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  • The image displays a standard Cartesian coordinate system with an x-axis ranging from approximately negative six to positive six, and a y-axis ranging from negative four to positive four.
  • Several black arrows are drawn on the grid, representing vectors in the plane.
  • At the point approximately \((-6, 0)\), a vector points upwards and to the right.
  • At the point approximately \((-4, -2)\), a vector points downwards and to the right.
  • At the point approximately \((-2, 2)\), a vector points upwards and to the right.
  • At the point approximately \((2, -4)\), a vector points strongly upwards, nearly vertically.
  • At the point approximately \((4, 2)\), a vector points upwards and to the right.

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