# Question Video: Finding the Intersection between Two Given Planes Mathematics

In the following figure, determine the intersection of plane π΄π·π΄β² and plane π΅π·π΅β².

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### Video Transcript

In the following figure, determine the intersection of plane π΄π·π΄ prime and plane π΅π·π΅ prime.

First, letβs identify plane π΄π·π΄ prime. π΄π·π΄ prime, we know that a plane is a flat two-dimensional surface that extends infinitely. And that means that plane π΄π·π΄ prime does not just include this triangular piece. It includes these spaces and continues to extend in all directions.

Letβs go ahead and identify the plane space that includes π΅π·π΅ prime. π΅π·π΅ prime, here is the shape created by π΅π·π΅ prime. And here is a representation of the plane that π΅π·π΅ prime lies in. Hereβs a reduced sketch of these two planes.

We remember that the intersection of two planes is a line. We need to identify the line that is the intersection of these two planes. Line πΆπΆ prime is the intersection of these two planes. What we mean by that is at every point along the line πΆπΆ prime is both plane π΄π·π΄ prime and plane π΅π·π΅ prime.