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What's on the worksheet
- Find the distance between each pair of points in space, exactly:(2, −1, 3), (3, 3, 11)(−1, 0, 5), (1, 6, 14)(3, 3, −2), (3, −9, 3)(1, −4, 2), (3, 0, −2)(0, 2, −3), (5, −1, 1)
- Write an equation for each set of points in space, such as planes and lines.
- Find the points a given distance from three coordinate planes and their distances from the origin.
- Write the equation of a sphere from the ends of a diameter.
- Find the condition for a point equally far from two points and check the midpoint.
- Find distances for a weather balloon over a flat field from a radio station.
- Find the center of a ball sitting in the corner of a crate.
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Coordinates and distance in three dimensions: the lesson ›More Chapter 9 worksheets: Coordinate geometry and coordinate proof
- 9.1Partitioning a segment in a given ratio
- 9.2Slopes of perpendicular lines
- 9.3Writing a parallel or perpendicular line through a point
- 9.4Perimeter and area from coordinates
- 9.5Classifying figures from coordinates
- 9.6Coordinate proofs with variables
- 9.7Flowchart proofs and choosing a format
- 9.8Coordinates and distance in three dimensions