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Mathematics 10 Online
OpenStudy (anonymous):

Name the single translation vector that can replace the composition of these three translation vectors: <2, 3>, then <–5, 7>, then <13, 0>

OpenStudy (loser66):

I don't understand the question @e.mccormick

OpenStudy (anonymous):

neither do i that's why i posted it here

OpenStudy (anonymous):

i'm taking geometry and we just started a "Transformations and Tessellations" unit

OpenStudy (anonymous):

Translation is just a shift along each axis

OpenStudy (anonymous):

Translations are composed with vector addition.

OpenStudy (anonymous):

i know i just dont get the vectors part

OpenStudy (anonymous):

Assuming you are using Cartesian coordinates.

OpenStudy (anonymous):

Add each component of the vector.

OpenStudy (anonymous):

wio what do you mean by components

OpenStudy (anonymous):

<a,b> + <c,d> = <a+c,b+d>

OpenStudy (loser66):

@wio so we have 2 translation for them, not single

OpenStudy (anonymous):

so where does the third sector fit in?

OpenStudy (anonymous):

Each vector represents a translation. There are three translations. They want you to make a single translation out of them. It's a somple problem.

OpenStudy (anonymous):

Vector addition is communicative, so it doesn't matter which order you add them in.

OpenStudy (anonymous):

no i mean do you plug in the numbers for the letters? if so what do you do with the remaining 2 numbers

OpenStudy (anonymous):

<a,b,c>+<d,e,f> = <a+d,b+e,c+f>

OpenStudy (anonymous):

so <2,3-5>+<7,13,0> = <2+7,3+13,-5+0>

OpenStudy (anonymous):

yeah, but you need a comma

OpenStudy (anonymous):

you can't add 2 vector with 3 vector

OpenStudy (anonymous):

oh do you mean i forgot the comma <2,3,-5>

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

and do i simplify the answer. like, add the numbers?

OpenStudy (anonymous):

just add them

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