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MATH / A dilation centered at the origin takes begin{pmatrix} 4 7 end{pmatrix} to begin{pmatrix} -12 -21 end{pmatrix}. Which vector does the dilation take …

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problem

A dilation centered at the origin takes $\begin{pmatrix} 4 \\ 7 \end{pmatrix}$ to $\begin{pmatrix} -12 \\ -21 \end{pmatrix}.$ Which vector does the dilation take $\begin{pmatrix} -2 \\ 5 \end{pmatrix}$ to?
Plain-text mathematical notation (without MathML)
A dilation centered at the origin takes $\begin{pmatrix} 4 \\ 7 \end{pmatrix}$ to $\begin{pmatrix} -12 \\ -21 \end{pmatrix}.$  Which vector does the dilation take $\begin{pmatrix} -2 \\ 5 \end{pmatrix}$ to?
Original LaTeX notation
A dilation centered at the origin takes $\begin{pmatrix} 4 \\ 7 \end{pmatrix}$ to $\begin{pmatrix} -12 \\ -21 \end{pmatrix}.$  Which vector does the dilation take $\begin{pmatrix} -2 \\ 5 \end{pmatrix}$ to?

level

Level 2

type

Precalculus

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Source and history

task_id
b910b4f3-67da-5533-91ff-e53addec6c3d
task_key
precalculus--test--b910b4f3-67da-5533-91ff-e53addec6c3d
task_revision_id
1
config / split
precalculus / test

Official source

initial import