anonymous
  • anonymous
Find a unit vector in the same direction as u= [3,0,-7,-4,2] (column)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[\left(\begin{matrix}3 \\ 0\\-7\\-4\\2\end{matrix}\right)\]
amistre64
  • amistre64
what is the length of the given vector?
amistre64
  • amistre64
suppose you have a vector that is 12 feet in length, how do you find out its "unit" length?

Looking for something else?

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

More answers

anonymous
  • anonymous
that's all that's given :\
anonymous
  • anonymous
12? lol
amistre64
  • amistre64
yeah, and to find the length of a vector, you square the parts, add em up, and sqrt it all ....
amistre64
  • amistre64
\[vector:\]\[distance=\sqrt{a^2+b^2+c^2+d^2+...+k^2}\]
amistre64
  • amistre64
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?
anonymous
  • anonymous
I did that and got sqrt 79, yes?
amistre64
  • amistre64
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
amistre64
  • amistre64
18+10=28 .. not 29 :)
anonymous
  • anonymous
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
amistre64
  • amistre64
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)
amistre64
  • amistre64
another way to notate it is just to scale the original vector by 1/length \[\frac{1}{\sqrt{78}}[3,0,-7,-4,2]\]
anonymous
  • anonymous
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!!

Looking for something else?

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