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MATH / The vectors begin{pmatrix} 1 - 1 2 end{pmatrix}, begin{pmatrix} 2 4 1 end{pmatrix}, and begin{pmatrix} a 1 c end{pmatrix} are pairwise orthogonal. Enter the ordered pair …

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problem

The vectors $\begin{pmatrix} 1 \\ - 1 \\ 2 \end{pmatrix},$ $\begin{pmatrix} 2 \\ 4 \\ 1 \end{pmatrix},$ and $\begin{pmatrix} a \\ 1 \\ c \end{pmatrix}$ are pairwise orthogonal. Enter the ordered pair (a,c).(a,c).
Plain-text mathematical notation (without MathML)
The vectors $\begin{pmatrix} 1 \\ - 1 \\ 2 \end{pmatrix},$ $\begin{pmatrix} 2 \\ 4 \\ 1 \end{pmatrix},$ and $\begin{pmatrix} a \\ 1 \\ c \end{pmatrix}$ are pairwise orthogonal.  Enter the ordered pair (a,c).
Original LaTeX notation
The vectors $\begin{pmatrix} 1 \\ - 1 \\ 2 \end{pmatrix},$ $\begin{pmatrix} 2 \\ 4 \\ 1 \end{pmatrix},$ and $\begin{pmatrix} a \\ 1 \\ c \end{pmatrix}$ are pairwise orthogonal.  Enter the ordered pair $(a,c).$

level

Level 3

type

Precalculus

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Source and history

task_id
3f06acee-c2ca-5980-b961-2df90b4c20cd
task_key
precalculus--test--3f06acee-c2ca-5980-b961-2df90b4c20cd
task_revision_id
1
config / split
precalculus / test

Official source

initial import