Vector using 2 Points in a Plane:
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Find a vector V represented by the directed line segment PQ, with P(2, -5) and Q(-3, 1).
We use the differences in the coordinates of the points to get the components of the vector:
V = (Qx - Px)i + (Qy - Py)j = (-3 - 2)i + (1 - (-5))j = -5i + 6j