IB DP Maths: AA HL复习笔记3.11.4 Shortest Distances with Planes
Shortest Distance Between a Line and a Plane
How do I find the shortest distance between a given point on a line and a plane?
- The shortest distance from any point on a line to a plane will always be the perpendicular distance from the point to the plane
How do I find the shortest distance between a plane and a line parallel to the plane?
- The shortest distance between a line and a plane that are parallel to each other will be the perpendicular distance from the line to the plane
Exam Tip
- Vector planes questions can be tricky to visualise, read the question carefully and sketch a very simple diagram to help you get started
Worked Example
Shortest Distance Between Two Planes
How do I find the shortest distance between two parallel planes?
- Two parallel planes will never intersect
- The shortest distance between two parallel planes will be the perpendicular distance between them
Exam Tip
- There are a lot of steps when answering these questions so set your methods out clearly in the exam
Worked Example
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