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Collinearity 367 Views


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Description:

In geometry, points are called collinear if they all lie on the same line. What, no bunk beds?

Language:
English Language

Transcript

00:03

Collinearity a la shmoop for the past 27 years Dr. Frankenstein [Dr Frankenstein appears]

00:09

has been slaving away over his creation an eight-foot-tall reanimated corpse

00:14

named Manny one day Manny took a stroll outside the [Manny walking outside]

00:18

castle and ran into some Transylvanian villagers rather than being charmed by

00:22

Manny they were immediately frightened by his size and decaying skin some

00:27

people are just too into appearances if you ask us the villagers started chasing [Villagers chase Manny away]

00:32

Manny who ran back toward the castle the distance from the castle to the

00:36

villagers is four miles and the villagers are one mile away from Manny

00:41

how far away is Manny from the castle well let's look at these points on ye

00:47

olde map of Transylvania let's start with the castle we know that the angry [Castle appears on a map]

00:51

villagers are four miles away and that Manny is one mile away from them looks

00:56

pretty easy doesn't it but what if the map looked like this or this well right

01:02

now we don't have enough information to answer the question because we don't

01:06

know if the points are collinear when three or more points are collinear a

01:11

single line can be drawn through all of them the word between also indicates

01:17

collinearity and position so if we know that many is between the castle and the [Manny stood between castle and villagers on a map]

01:22

mob of angry villagers we know that they're all collinear with Manny in the

01:26

middle and the castle and the villagers on either side of it if that's the case

01:31

we can solve for the distance between the castle and Manny by subtracting the

01:34

distance between Manny and the villagers from the distance between the villagers

01:37

and the castle piece of cake the four miles minus one mile is three miles that

01:43

means Manny is three miles away from Dr. Frankenstein's castle and with that

01:48

stride they'll make it to safety for sure... As for Dr. Frankenstein he'll need [Manny runs into castle]

01:52

some luck when dealing with those angry villagers

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