How to find the vector equation of a line

A tutorial on how to find a vector from one point to another, and hence find the vector equation of a straight line through two points.

This was requested via twitter @mathormaths

[siphilipe]

I wish I could take a salary "$$" of my actual teacher and give it to you. Great explanation, thanks!

[rv.]

This is so simple man my textbook unnecessarily complicates things

[elicarroll]

THANK YOU! This was a great video and helped me understand step by step how to do the problem. You should make more!

[oniccarm]

Thank yooouuuu so much. I been struggling with this kind of equation for a week 👍

[jeremiahwambua]

Asante sana, very useful video. Kudos👏👏👏

[MrKrishanpatel]

Awesome video!!! Very well explained and really easy to understand! Thank you!!!

[andotchasinpaper]

Thanks for the video, I finally understand it

[sadhanakoganti]

THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU.

[TheYoungerBro]

You are my beauty! Much better than the textbook. Don't listen to the h8rs bbs your writing skills are not perfect but it is legible. ❤

[sereananaivalu]

thank you so much, you made it so simple.

[chinanumberone]

Only good video on this topic, everyone else does TV which is not fun and easy

[jennybartlett]

Really helpful!!! Got my Core 4 math exam tomorrow and I finally kinda understand? :D

[usmanalam]

Perhaps brushing up on the writing skills would help. Really takes away from the learning experience. That said, good explanation of the concept.
It's rather shameful that I have to check back on these things despite being at university, but hey thank god for youtube.

[missthang]

thank you ! i can see the light now ;)

[adamhedges]

what if you are not given the end co-ordinates, you are only given one of the three coordinates?
i, e. "find the vector equation of the line BC where B is [40, 0, -20] and the line BC is in the direction 3i + 4j + k and the point C is [?, ?, 0] ?"

This is an assignment question i am struggling with

[MathMathsMathematics]

Found the question you were on about, took some looking, you didn't say HL or SL. Done and uploading, look in my recent uploads and check the How To playlist for IB SL (or HL because it is relevant to that too).

[Redflowers]

Make x then y the subject and those will be the point coordinates for a; plus lambda by (x)i, (y)j for b given that your other subtracting point can be 0, the origin.

[lightryuzaki]

What level is this?.. Im grde6 and I found it easy😊

[crizzlesizzle]

thanks brotendo really helped me have a rocketship
~

[xavieryuchi]

Thanks, IB vector is driving me crazy………………