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INT

  • 3 years ago

what are two unit vectors that are orthogonal to both <1,-1,1> and <0,4,4>

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  1. YTheManifold
    • 3 years ago
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    Cross product..

  2. INT
    • 3 years ago
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    Im not getting the right answer for some reason

  3. YTheManifold
    • 3 years ago
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    Normalize!

  4. INT
    • 3 years ago
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    can you show me the steps?

  5. YTheManifold
    • 3 years ago
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    \[ \frac{v\times w}{||v\times w||} \]

  6. INT
    • 3 years ago
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    I don't understand the denominator

  7. INT
    • 3 years ago
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    I guess my question would be how do you normalize

  8. YTheManifold
    • 3 years ago
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    Well if you have a vector v=(x,y,z) then \[ ||v|| := \sqrt{x^2+y^2+z^2} \]

  9. Zarkon
    • 3 years ago
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    \[\|<a,b,c>\|=\sqrt{a^2+b^2+c^2}\]

  10. INT
    • 3 years ago
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    ok, I got one of them. Would the other orthogonal vector just be B X A ?

  11. YTheManifold
    • 3 years ago
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    Just take the negative!

  12. YTheManifold
    • 3 years ago
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    Multiply by -1.

  13. INT
    • 3 years ago
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    oh, you're right!

  14. INT
    • 3 years ago
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    haha thanks.

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