The formula for the distance between two points in the plane can be extended to two points in space.
Distance Formula in Three Dimensions
The distance | P1P2 | between the points P1(x1, y1, z1) and P2(x2, y2, z2) equals
Study the figure below: can you explain how to derive this formula? (Hint: use the Pythagorean theorem twice.)
(a) Find the distance between the points P(2, -1, 7) and Q(3, 1, 5).
(b) Find the equation of a sphere
with radius r and center C(h, k, l).
Given three points in space, how are the distances between them related if the points lie on a straight line?
Section 13.1 - Suggested Exercises
# 1, 3, 7, 9, 11, 13, 15, 17, 21, 23, 25, 29, 33, 35
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