WEBVTT
00:00:00.600 --> 00:00:07.760
In the following figure, determine the intersection of plane π΄π·π΄ prime and plane π΅π·π΅ prime.
00:00:08.480 --> 00:00:11.680
First, letβs identify plane π΄π·π΄ prime.
00:00:12.340 --> 00:00:19.580
π΄π·π΄ prime, we know that a plane is a flat two-dimensional surface that extends infinitely.
00:00:19.960 --> 00:00:26.120
And that means that plane π΄π·π΄ prime does not just include this triangular piece.
00:00:26.600 --> 00:00:30.840
It includes these spaces and continues to extend in all directions.
00:00:31.480 --> 00:00:36.360
Letβs go ahead and identify the plane space that includes π΅π·π΅ prime.
00:00:37.040 --> 00:00:41.720
π΅π·π΅ prime, here is the shape created by π΅π·π΅ prime.
00:00:42.160 --> 00:00:46.440
And here is a representation of the plane that π΅π·π΅ prime lies in.
00:00:46.840 --> 00:00:50.360
Hereβs a reduced sketch of these two planes.
00:00:51.080 --> 00:00:54.920
We remember that the intersection of two planes is a line.
00:00:55.400 --> 00:01:00.800
We need to identify the line that is the intersection of these two planes.
00:01:01.320 --> 00:01:06.280
Line πΆπΆ prime is the intersection of these two planes.
00:01:06.880 --> 00:01:20.000
What we mean by that is at every point along the line πΆπΆ prime is both plane π΄π·π΄ prime and plane π΅π·π΅ prime.