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The distance between P1(x1, y1) and P2(x2, y2)

Is the length of the vector joining P1 and P2

is P2 – P1 = P(length)

=(x1, y1) -(x2, y2)

=(x2-x1, y2-y1)

the length of this P(length) vector is the dot product of

the vector with itself

= ?[P(length)?P(length)] =?|| p(length)||²

If we evaluate this, we discover this is exactly the same as

the distance formula used for ordinary xy plane mathematics