Volume of the parallelepiped with adjacent edges (KristaKingMath)

► 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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If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
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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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[@jaytiddley6744]

great video, really nice voice to listen to! :) make sure you make lots of videos youtube is my best teacher!

[@alexandriazoenell5971]

You make so easy to digest. Thank you!

[@djm6683]

thx, ive watched your vids to help my hw for the past 2 weeks

[@kristakingmath]

You're welcome, I'm so glad the videos are helping! :)

[@rohitpurkait1969]

Thank you for the video. Good and clear voice ❤

[@nickcarbonell8392]

how do I know what to cross with what?

[@tausal1]

Thank you so much for the clear explanation!

[@kristakingmath]

You're welcome! Glad you liked it.

[@user-cy1jk5ly3x]

I don't understand WHY we take the dot product after we find the cross product ? Why do we do this??

[@carloskruut423]

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.

[@OToole1905]

Brilliant video, great explanation.

[@theopenfamilychurch9951]

Also what happens to the coordinate of the vectors when we use Q as the reference?

[@MRAXELGRINDER]

Awesome lesson

[@himalthapa1274]

Thanks ♥️ really appreciate your help

[@kristakingmath]

You're welcome, Himal! I'm happy to help! :D

[@TripedalTroductions]

If I could give this video multiple thumbs ups, I would.

[@kristakingmath]

+TripedalTroductions Thanks, glad you liked it!

[@timtran7756]

Thanks

[@kristakingmath]

You're welcome, Tim! :)

[@kaveeshagunasinghe861]

Thank you so much ❤️

[@stevekhan4063]

I have a question could this work as well ---> PQXPR "dot" PS ?

[@DaCom3AK]

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

[@mariocastro7141]

Thank you

[@dipinbhattarai5304]

While watching your video, I was trying to solve a problem in the book and later realized they were the same question.

[@randhimaravishan7029]

Thank you!

[@kristakingmath]

You're welcome, Randhima! :)

[@theopenfamilychurch9951]

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)| ?

[@Kay-dx8vm]

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

[@jackobrien9864]

@@Kay-dx8vm glad you did answer it, was wondering this exact thing 5 years later

[@yousufkhuram5574]

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?

[@MRAXELGRINDER]

great video thanks

[@kristakingmath]

You're welcome, Marko, so glad you liked it. :)

[@ThePinoyMamba]

Nicely Done Krista.
Any Chance that you may want to become an Acturian?

[@kristakingmath]

Thanks! I don't know what an acturian is! :)

[@ThePinoyMamba]

integralCALC actuarial science, actuaries.

[@kristakingmath]

ThePinoyMamba Oh! An actuary, got it! :D But I think I'll stick with integralCALC for a while. ;D

[@nataliaevangelinaramirezma1400]

THANK YOU!!!!!

[@kristakingmath]

You're so welcome! Glad it could help. :)

[@NotABigTruckCycling]

My girlfriend is jealous of how much I like your videos. :)

[@naifalsowaidi1600]

you are really awesome

[@kristakingmath]

You too! :D

[@desireeyazzie6182]

thank you omg

[@kristakingmath]

:D

[@MegaXwillx]

what if the volume is a negative number?

[@CJFX_]

+William Reyes then you did the question wrong. volume cannot be negative

[@MegaXwillx]

i don't remember posting this lol. I took vector calc 3 semesters ago

[@johnkimani2334]

Collin Fox You take the absolute value because volume cannot be a negative value.Its not necessarily that you are wrong

[@lavanyak6207]

Thank you mam

[@kristakingmath]

You're welcome, Lavanya! :)

[@AsbiaRojas]

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

[@mouniratlili9160]

Hello world

[@adenikeadewumi267]

Finally😪😪

[@nixuzumki5150]

Easy pesy lemon squeezee

[@shobobo4792]

God.