Long description: twopath

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A diagram shows two different paths, labeled with vectors 'a' and 'b', connecting points A, B, and C on a two-dimensional coordinate system.

Alt text: A diagram shows two different paths, labeled with vectors 'a' and 'b', connecting points A, B, and C on a two-dimensional coordinate system.

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  • The image displays a standard two-dimensional Cartesian coordinate system with labeled axes for 'x' and 'y'.
  • Three points, labeled A, B, and C, form a right-angled triangle in the first quadrant.
  • The path from B to A is represented by a vector labeled 'a', forming the hypotenuse of the triangle.
  • A second path is shown, consisting of two segments: a horizontal path from B to C, labeled with a vector 'b', and a vertical path from C to A, also labeled with a vector 'b'.
  • The diagram illustrates that the two paths from B to A, one along the direct hypotenuse 'a' and the other along the two segments 'b' and 'b', are shown.

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