The distance d of a point P to the line through points A and B is...

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The distance d of a point P to the line through points A and B is the length of the component of AP that is orthogonal to AB, as indicated in the diagram. So the distance from P = (–2, −4, 4) to the line through the points A = (-5, 4, 0) and B = (3,5,2) is | The distance d of a point P to the line through points A and B is the length of the component of AP that is orthogonal to AB, as indicated in the diagram. So the distance from P = (–2, −4, 4) to the line through the points A = (-5, 4, 0) and B = (3,5,2) is |