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Coordinate & vector calculators

Calculate distances and vector relationships in two or three dimensions.

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Keep coordinate units consistent along every axis. Distance is non-negative, while slope and dot product can have signs. A vertical line has undefined slope because the horizontal coordinate change is zero.

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Does a zero dot product always mean the vectors are perpendicular?

Two nonzero vectors with zero dot product are perpendicular. The zero vector needs separate treatment because it has no defined direction.

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