5 mins to find the Shortest Distance Between a Point and a Plane
Math with Sophie
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5 mins to find the Shortest Distance Between a Point and a Plane
548 просмотров · 3 г. назад
Math with Sophie
3,66 тыс. подписчиков
548 просмотров · 3 г. назад
In this video, we will show you how to find the shortest distance between a points and a plane. This is an easy way to calculate the distance between two points using basic geometry.
This 5-minute video is a great way to practise basic geometry and learn how to find the shortest distance between a point and a plane. After watching this video, you'll be able to calculate distances between a point and a plane quickly and easily!
⏰ Timecodes⏰
00:18 Let's look at a 3D-representation of the distance of a between a point and a plane.
01:03 We set out a strategy to find the shortest-distance between a point and a plane, using the normal-vector to the plane and the point to create a 3D-line.
02:43 Now, find the point of intersection between the line and the plane, by finding lambda.
03:42 You can use the point of intersection and find the distance between two-points formula.
04:00 OR you can find the magnitude of the vector from the point to the plane.
04:53 How to find the magnitude of the vector from the point to the plane.