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Math Formulas: Lines in three dimensions

Line forms

Point direction form:

lines in three dimensions

Two point form:

lines in three dimensions

Parametric form:

lines in three dimensions

Distance

The distance from P2(x2,y2,z2) to the line through P 1 (x1,y1,z1) in the direction (a,b,c) is

lines in three dimensions

The distance between two lines: Firs one: through P1 (x1,y1,z 1) in direction (a1,b1,c1), Second one: through P2 (x2,y2,z2) in direction (a2,b2,c2) is

lines in three dimensions

The two lines intersect if

lines in three dimensions


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