How to Show Points are Collinear - Vectors

A short tutorial on showing points given with vector coordinates are collinear

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[MEKR]

Funny how we always come here days before an exam 😂😬

[ConnorJP]

I have a math final exam on wednesday. So i'm subbing haha, thanks!

[Caqtus]

Thanks.
4:29 was enough to cover 2hours of lecture.

[AQHackAQ]

Thank you very much! Just what I've been searching for!

[samadaileru]

Nine years ago video which is still very helpful

[DaRashedShoW]

Wtf is he saying at the start of this vid

[JustBaileey]

Can you explain how I’d apply this if I’m given vector AB( 3i-7j)and Vector AC(-9i+21j)

[blazekjk]

Very helpful for a project I have in school!

[dasepticeye]

Him: there is a line A B
Me: C
Him: p

[mdk]

Please help? I got a question where two Lines equation are given, position vectors P and Q lies on L1 and L2 respectively,   Find P and Q such that O, P, Q are collinear.

[edkzig]

Don't we only know if these points are collinear if those are all position vectors, meaning that they start at the origin? Otherwise these could be random parallel vectors in any plane. The way the problem is set up, we are assuming that these vectors all start at the origin. Clarification on this?

[ghirishmajuggamah]

that was rilly very helpful.. THANK YOU !!

[samuelmamaraccoon]

Thank you for making a lear-ned man out of me.

[khushiable]

I lovelove youu soo much for this! thank you so much :)

[guimer-]

Friend, this is correct BUT you cannot write down the points in that way (3i+4j-2k) because if you use that notation then you are saying that A is vector and not a point 

[aarjavparmar]

Wasn't it supposed to be like ab+bp=ap ?

[billyweasly]

brilliant i think i finally understand

[georgepius]

What if the signs on the the points I calculated are not the same

[dv]

"A... B...."

"Oh yeah I know where this is going, it's gonna be C next!"

"P..."

WAIT A MINUT-

[carlthesmartgamer]

thanks for the video it really helped :)