Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

KatClaire

  • 2 years ago

Find a unit vector in the same direction as u= [3,0,-7,-4,2] (column)

  • This Question is Closed
  1. KatClaire
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\left(\begin{matrix}3 \\ 0\\-7\\-4\\2\end{matrix}\right)\]

  2. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is the length of the given vector?

  3. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    suppose you have a vector that is 12 feet in length, how do you find out its "unit" length?

  4. KatClaire
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that's all that's given :\

  5. KatClaire
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    12? lol

  6. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yeah, and to find the length of a vector, you square the parts, add em up, and sqrt it all ....

  7. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[vector:<a,b,c,d,...,k>\]\[distance=\sqrt{a^2+b^2+c^2+d^2+...+k^2}\]

  8. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    parts: square 3: 9 0: 0 7:49 4:16 2: 4 --- sum: 78 ; so length must be sqrt(78) or did i do something wrong?

  9. KatClaire
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I did that and got sqrt 79, yes?

  10. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    vector = sqrt(78) units to find a vector of 1 unit, we divide both sides by sqrt(78) vector/ sqrt(78) = sqrt(78)/sqrt(78) units vector/ sqrt(78) = 1 unit therefore, a unit vector is created by dividing the components of the vector by its length

  11. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    18+10=28 .. not 29 :)

  12. bmelyk
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry my computer like died so I'm on my friends lol so it's 6/sqrt78 @amistre64 then you times that into each unit thingy

  13. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    each component then gets divided by the vectors length to obtain components of the unit vector. 3/sqrt(78) 0/sqrt(78) - 7/sqrt(78) - 4/sqrt(78) 2/sqrt(78)

  14. amistre64
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    another way to notate it is just to scale the original vector by 1/length \[\frac{1}{\sqrt{78}}[3,0,-7,-4,2]\]

  15. KatClaire
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh okay my problem was accepting the fact that my calculator wouldn't put my answers in fractions so I thought I must be wrong hahaha. Thanks!!

  16. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.