TalikC707306 TalikC707306
  • 26-10-2022
  • Mathematics
contestada

Which of the following represents the translation of R (-3, 4) along the vector <7, -6> and then the vector <1, 3> ?

Which of the following represents the translation of R 3 4 along the vector lt7 6gt and then the vector lt1 3gt class=

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MakinzieN508651 MakinzieN508651
  • 26-10-2022

ANSWER

R(-3, 4) → R'(4, 2) → R''(3, 1)

EXPLANATION

To translate the point R(-3, 4) along the vector <7, -6>, we have to add each coordinate of the vector to each coordinate of the point,

[tex]R(-3,4)\to R^{\prime}(-3+7,4-6)=R^{\prime}(4,-2)[/tex]

Then, for the other vector <-1, 3> the process is the same,

[tex]R^{\prime}(4,-2)\to R^{\doubleprime}(4-1,-2+3)=R^{\doubleprime}(3,1)[/tex]

Hence, the sequence is R(-3, 4) → R'(4, 2) → R''(3, 1).

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