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

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KatClaireBest ResponseYou've already chosen the best response.0
\[\left(\begin{matrix}3 \\ 0\\7\\4\\2\end{matrix}\right)\]
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
what is the length of the given vector?
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
suppose you have a vector that is 12 feet in length, how do you find out its "unit" length?
 one year ago

KatClaireBest ResponseYou've already chosen the best response.0
that's all that's given :\
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
yeah, and to find the length of a vector, you square the parts, add em up, and sqrt it all ....
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
\[vector:<a,b,c,d,...,k>\]\[distance=\sqrt{a^2+b^2+c^2+d^2+...+k^2}\]
 one year ago

amistre64Best ResponseYou've already chosen the best response.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?
 one year ago

KatClaireBest ResponseYou've already chosen the best response.0
I did that and got sqrt 79, yes?
 one year ago

amistre64Best ResponseYou've already chosen the best response.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
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
18+10=28 .. not 29 :)
 one year ago

bmelykBest ResponseYou've already chosen the best response.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
 one year ago

amistre64Best ResponseYou've already chosen the best response.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)
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
another way to notate it is just to scale the original vector by 1/length \[\frac{1}{\sqrt{78}}[3,0,7,4,2]\]
 one year ago

KatClaireBest ResponseYou've already chosen the best response.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!!
 one year ago
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