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8 paź 2020 · I need to calculate the shortest distance from anyplace on this line to a point (X', Y') elsewhere on the coordinate plane. If this is represented by X' in D1, and Y' in D2, I'm using the formula: =ABS ( (SLOPE (B1:B10,A1:A10)*D1-D2+INTERCEPT (B1:B10,A1:A10))/SQRT (SLOPE (B1:B10,A1:A10)2 +1)).
10 gru 2013 · The following VBA Function calculates the distance from the point (X,Y) to the straight line. Option Explicit. Function Dist2Line (Y As Double, X As Double, Ys As Variant, Xs As Variant) As Double. 'Distance from the point (X,Y) to a straight line with equation Y=A0+A1*X.
To compute the length of a 2D line given the coordinates of two points on the line, you can use the distance formula, adapted for Excel's formula syntax. In the example shown, the formula in G5, copied down, is: =SQRT((D5-B5)^2+(E5-C5)^2) where the coordinates of the two points are given in columns B through E.
21 lip 2016 · function Pr=getSpPoint(Line,Point) % getSpPoint(): find Perpendicular on a line segment from a given point x1=Line(1,1); y1=Line(1,2); x2=Line(2,1); y2=Line(2,1); x3=Point(1,1); y3=Point(1,2); px = x2-x1; py = y2-y1; dAB = px*px + py*py; u = ((x3 - x1) * px + (y3 - y1) * py) / dAB; x = x1 + u * px; y = y1 + u * py; Pr=[x,y]; end
Shows how to find the perpendicular distance from a point to a line, and a proof of the formula.
Using the perpendicular distance formula, find the equation of the line that passes through the third point and is perpendicular to the line found in step 1. The perpendicular distance from a point (x3, y3) to a line with equation Ax + By + C = 0 is:
To calculate the perpendicular distance, you need to use the formula =ABS((B1-D1)*E1 - (A1-C1)*F1 + A1*D1 - B1*C1) / SQRT((B1-D1)^2 + (A1-C1)^2). This formula involves the cross product of the line vector and the vector from one of the line's points to the given point, as well as the squared length of the line vector.
