Toán Lớp 11: cho d : 2x + 7y -2 =0 , vecto v ( 3 ; -1 ) . Tìm ảnh của d qua T vecto v?
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Toán Lớp 11: cho d : 2x + 7y -2 =0 , vecto v ( 3 ; -1 ) . Tìm ảnh của d qua T vecto v?
giúp ae
Comments ( 2 )
$\begin{array}{l}
{T_{\overrightarrow v }}\left( M \right) = M’\\
\Leftrightarrow \left\{ \begin{array}{l}
x’ = x + 3\\
y’ = y – 1
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
x = x’ – 3\\
y = y’ + 1
\end{array} \right.\\
M \in d\\
\Rightarrow 2x + 7y – 2 = 0\\
\Leftrightarrow 2\left( {x’ – 3} \right) + 7\left( {y’ + 1} \right) – 2 = 0\\
\Leftrightarrow 2x’ + 7y’ – 1 = 0\\
\Rightarrow {T_{\overrightarrow v }}\left( d \right) = d’:2x + 7y – 1 = 0
\end{array}$