The direction vector can be found by subtracting the coordinates of the two given points. Let the points be \( P_1 = (1, 2, 3) \) and \( P_2 = (3, 5, 7) \).
The direction vector \( \mathbf{d} \) is given by:
\[ \mathbf{d} = P_2 - P_1 = (3 - 1, 5 - 2, 7 - 3) = (2,
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