Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1. Points, Lines, and Planes
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Exercise 64 Page 386

planes can be thought of as two-dimensional lines.

Never Intersect? Yes
Intersect in One Line? Yes
Intersect in One Point? Yes

Practice makes perfect

It is possible to draw three planes that are parallel to each other. Just as it is with parallel lines, parallel planes will never intersect. To better visualize this, think of the different floors of a skyscraper. If theses planes did intersect at some point, it would be a funny looking building.

3planes-parallel.png
Three planes can also intersect in one line. In fact, from a line, you can draw an infinite number of planes around it. As long as they are drawn at different angles, they will not be the same.

3planes-line.png

Three planes can also intersect at one point. An example, of this can be seen below.

3planes2.png