3D Coordinate Geometry (DP IB Applications & Interpretation (AI)): Revision Note
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3D Coordinate Geometry
How do I find the midpoint of two points in 3D?
The midpoint of two points is the middle point
It lies on the line segment joining the two points together
It is the point that is equidistant from the two points
The coordinates of the midpoint of
and
are
It is just the average of the two coordinates
Examiner Tips and Tricks
This is given in the formula booklet under the geometry and trigonometry section.
How do I find the distance between two points in 3D?
The distance between two points is the length of the line segment joining them
The length of the line segment between
and
is
This is just an application of Pythagoras' Theorem
Examiner Tips and Tricks
This is given in the formula booklet under the geometry and trigonometry section.
Worked Example
The points and
have coordinates
and
respectively.
i) Calculate the distance of the line segment .

ii) Find the midpoint of .

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