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MATH / A line is parameterized by a parameter t, so that the vector on the line at t=−2 is begin{pmatrix} 2 -4 end{pmatrix}, and the vector on the line at t=3 is …

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problem

A line is parameterized by a parameter t,t, so that the vector on the line at t=−2t = -2 is $\begin{pmatrix} 2 \\ -4 \end{pmatrix},$ and the vector on the line at t=3t = 3 is $\begin{pmatrix} 1 \\ 7 \end{pmatrix}.$ Find the vector on the line at t=5.t = 5.
Plain-text mathematical notation (without MathML)
A line is parameterized by a parameter t, so that the vector on the line at t=−2 is $\begin{pmatrix} 2 \\ -4 \end{pmatrix},$ and the vector on the line at t=3 is $\begin{pmatrix} 1 \\ 7 \end{pmatrix}.$  Find the vector on the line at t=5.
Original LaTeX notation
A line is parameterized by a parameter $t,$ so that the vector on the line at $t = -2$ is $\begin{pmatrix} 2 \\ -4 \end{pmatrix},$ and the vector on the line at $t = 3$ is $\begin{pmatrix} 1 \\ 7 \end{pmatrix}.$  Find the vector on the line at $t = 5.$

level

Level 4

type

Precalculus

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Source and history

task_id
f74b0856-7519-5356-9537-536a1133c9c1
task_key
precalculus--test--f74b0856-7519-5356-9537-536a1133c9c1
task_revision_id
1
config / split
precalculus / test

Official source

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