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Point-Line Distance
The distance from a point, P, to a line, r, is the smallest distance from the point to one of the infinite points on the line. The distance corresponds to the perpendicular line from the point to the line.
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The distance from a point, P, to a line,r, is defined by:
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Determine the distance from the point P=(1,3,-2) to the line
Solution:
=(1-2,3+1,-2-1)=(-1,4,-3)
=(3,1,-2)
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x = |
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= |
5+11+13
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Determine the distance from the point P=(1,2,3) to the line
Solution:
A=(2,3,4)
=(1-2,2-3,3-4)=(-1,-1,-1)
=(4,4,2)
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x = |
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= |
-2+2
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