Finding Distance and Midpoint
Key Questions
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#D=sqrt((P_(1_x)-P_(2_x))^2+(P_(1_y)-P_(2_y))^2+(P_(1_z)-P_(2_z))^2)# Please see the following link for a full explanation and example:
What is the distance between#M(7,−1,5)# and the origin?
Amory W.
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Aug 22 2014
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We live in 3 dimensions.
We have East/West, North/South and Up/Down.
If something is 100 m East, and 120 m North and 80 m Above me, then the distance between us is a distance in 3 dimensions, And the middle of that distance is the midpoint.
Jim H
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Mar 6 2015
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The answer is
#M=((P_(1_x)+P_(2_x))/2, (P_(1_y)+P_(2_y))/2, (P_(1_z)+P_(2_z))/2)# .The midpoint is one of the easier things to calculate. Remember that mid is a synonym for average. To find the midpoint, we just average the components.
Amory W.
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Aug 22 2014