Orthogonal, parallel or neither (vectors) (KristaKingMath)

Learn how to determine whether two vectors are orthogonal to one another, parallel to one another, or neither orthogonal nor parallel.

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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?!”

[mexchik]

Girl, thank you so much for explaining this. The presentation I view on WebAccess only showed with the vectors are neither parallel nor orthogonal. And I wondered if you could just multiply by one of the numbers in the k spot over to the other vector, and this completely cleared up how I thought parallel vectors worked. Thank you!

[ahmadalawi]

you are a lifesaver I letterly have an exam in 3H and explained on of the questions which will be on the exam thanks

[vehicalgaragethree]

Determine whether ku and lu are orthogonal, parallel or neither ku= 2v̂+ 3x̂−yz, lu= 5v̂−2x̂+4yz

[dwaynesmith]

Thank you so much. My teacher did not mention any of this, yet it was on my homework.

[annal]

Thank you! That was so much easier to understand than the book!

[TheToilet]

thanks alot. you are very good at explaining, not to mention also very pretty :) 

[anuradhawithanage]

Very clear explanation, Thank you so much :)

[chandershekhar]

very helpful, you are doing a wonderful job, thanks a lot

[becomingbetterwithryan]

So I think I am going to stop going to class and only show up on test days because you just cleared up everything in 7 minutes that my teacher has not gotten across to me in a week. lol, THANK YOU SO MUCH!

[rashidhayajneh]

Youre the best seriously, thanks a lot.

[acealexander]

Does using the cosine rule work as well?

Does cos^-1 of the dot/(mag)(mag) giving you a degree work as well?

[DiegoDiego]

Krista, I think I need some "private tutoring"

[zeinhanouneh]

That's something we skipped in class. I wonder why thought it seems pretty easy. Thanks for th explanation!

[arthurmasters]

Ironically, the example questions you used are all the exact problems I'm trying to work out lol

[shat]

i can't believe i'm currently taking calculus 3 and differential equation, and i suck at maths. thank you very very much. 

[romaryjohnlove]

Thank you!! This is such a huge help to me, I love how you are so thorough with all your videos. I really appreciate it! :)

[MuccisJag]

This is fantastic, my book doesn't bother with these explanations. Thank you!

[tahaazalai]

wonderful 😘😊 lecture short clear and convincing thanks 🙏 to you

[Scerab]

I hate when math teachers use j and i as variables in the same equation. As a dyslexic person, it never ends wells

[johnwgan]

These are the exact same problems in my stewart calculus, webassign homework.