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anonymous

  • one year ago

Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <6, -2>, v = <2, 6>

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  1. jdoe0001
    • one year ago
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    take their dot product if their dot product is 0 then they're orthogonal(perpendicular)

  2. jdoe0001
    • one year ago
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    hmmm actually shoot lemme fix that

  3. jdoe0001
    • one year ago
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    parallel vectors, are the ones that have some common factor or a common scalar for example <3,4> and <9,12> are parallel because <9,12> is really just 3<3,4>

  4. anonymous
    • one year ago
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    I think I follow

  5. anonymous
    • one year ago
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    I'm still confused on how to find the dot production, mind giving me a small example?

  6. jdoe0001
    • one year ago
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    hmmm I'd assume you've covered that in the chapter by now

  7. jdoe0001
    • one year ago
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    \(\bf <a,b>\cdot <c,d>\implies a\cdot c+b\cdot d\impliedby \textit{dot product}\)

  8. anonymous
    • one year ago
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    Yea I did cover it in the lesson. So let me clarify if u is <1,5> and v was <1,3> and we simply just multiply 1*5 and 1*3. Than just add 5+3 right?

  9. jdoe0001
    • one year ago
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    hmm shoot, lemme fix that as well

  10. jdoe0001
    • one year ago
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    \(\bf <{\color{brown}{ 1,5}}>\cdot <{\color{blue}{ 1,3}}>\implies {\color{brown}{ 1}}\cdot{\color{blue}{ 1}}+{\color{brown}{ 5}}\cdot {\color{blue}{ 3}}\)

  11. anonymous
    • one year ago
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    Alright I got it. Thanks for the help!

  12. jdoe0001
    • one year ago
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    yw

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