Vector using 2 Points in Space:
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Find a vector V represented by the directed line segment PQ, with P(-3, 1, 2) and Q(-5, 4, -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 + (Qz - Pz)k= (-5 - (-3))i + (4 - 1)j + (-1-2)k = -2i + 3j + (-3)k.