Distances

I) Distance between two points: let the points

Then:

 

II) Distance from a point to a plane: let

Then:

 

III) Distance between two parallel planes: let the planes

Then:

 
IV) Distance from a plane to a parallel straight line: let

Then:

 

V) Distance from a point to a straight line: let

Then:

 

VI) Distance between two parallel straight lines: let

Then:

 

VII) Distance between two skew lines: let the straight lines

Then:

 

Exercise: let

Calculate:

a) d(P,π)

b) d(π,s)

c) d(P,r)

d) d(r,s)

 

 

 

Solutions: a) 3u; b) 2u; c) 0u; d) 7√46/46u

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