Volume of the parallelepiped with adjacent edges (KristaKingMath)
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- Опубликовано: 25 авг 2024
- ► My Vectors course: www.kristaking...
Learn how to find the volume of the parallelepiped given adjacent edges defined by four coordinate points.
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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great video, really nice voice to listen to! :) make sure you make lots of videos youtube is my best teacher!
You make so easy to digest. Thank you!
thx, ive watched your vids to help my hw for the past 2 weeks
You're welcome, I'm so glad the videos are helping! :)
Thank you for the video. Good and clear voice ❤
how do I know what to cross with what?
Thank you so much for the clear explanation!
You're welcome! Glad you liked it.
I don't understand WHY we take the dot product after we find the cross product ? Why do we do this??
The reason you take the dot product after the cross product is to get a scalar product. As the cross product gives you a vector product, when you take the dot product you get a scalar product meaning it only has magnitude (no direction) which is a numerical value such as 6 for example.
Brilliant video, great explanation.
Also what happens to the coordinate of the vectors when we use Q as the reference?
Awesome lesson
Thanks ♥️ really appreciate your help
You're welcome, Himal! I'm happy to help! :D
If I could give this video multiple thumbs ups, I would.
+TripedalTroductions Thanks, glad you liked it!
Thanks
You're welcome, Tim! :)
Thank you so much ❤️
I have a question could this work as well ---> PQXPR "dot" PS ?
yes because you could replace i j k in the matrix with the values of PS so then when you solved the matrix you would get the same answer
Thank you
While watching your video, I was trying to solve a problem in the book and later realized they were the same question.
Thank you!
You're welcome, Randhima! :)
What happens when you change the order of the cross and dot product? For instance - |PS * (PQ x PR)| is it equal to |PQ * (PR x PS)| ?
I know this question has been a year, but I will go ahead and answer in case someone needs it. If you change the order between the 3 vectors, you only change the sign of the result, but we take the absolute value to find its volume so it does not matter how you range those three vectors
@@Kay-dx8vm glad you did answer it, was wondering this exact thing 5 years later
Lets say we were not given the point S, but were given a point T which is not connected to P. How can I solve that?
great video thanks
You're welcome, Marko, so glad you liked it. :)
Nicely Done Krista.
Any Chance that you may want to become an Acturian?
Thanks! I don't know what an acturian is! :)
integralCALC actuarial science, actuaries.
ThePinoyMamba Oh! An actuary, got it! :D But I think I'll stick with integralCALC for a while. ;D
THANK YOU!!!!!
You're so welcome! Glad it could help. :)
My girlfriend is jealous of how much I like your videos. :)
you are really awesome
You too! :D
thank you omg
:D
what if the volume is a negative number?
+William Reyes then you did the question wrong. volume cannot be negative
i don't remember posting this lol. I took vector calc 3 semesters ago
Collin Fox You take the absolute value because volume cannot be a negative value.Its not necessarily that you are wrong
Thank you mam
You're welcome, Lavanya! :)
Saludos hacia la clase de 7 a 8 de cálculo vectorial del profe lafarga que curiosamente se robó el ejercicio de la tarea de este video :v
Hello world
Finally😪😪
Easy pesy lemon squeezee
God.