Toán Lớp 10: Cho \vec{a}=(2;0) ;\vec{b}=(-1;1/2) ; \vec{c}=(4;-6) .
Tìm 2 số m, n sao cho : m\vec{a}+\vec{b}-n\vec{c}=0
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Toán Lớp 10: Cho \vec{a}=(2;0) ;\vec{b}=(-1;1/2) ; \vec{c}=(4;-6) .
Tìm 2 số m, n sao cho : m\vec{a}+\vec{b}-n\vec{c}=0
Comments ( 2 )
\text{Ta có:}\\
\quad m\overrightarrow a + \overrightarrow b – n\overrightarrow c = \overrightarrow0\\
\Leftrightarrow \begin{cases}2m- 1 – 4n = 0\\0m + \dfrac12 + 6n =0 \end{cases}\\
\Leftrightarrow \begin{cases}m = \dfrac13\\n =- \dfrac{1}{12}\end{cases}\\
\text{Vậy}\ (m;n) = \left(\dfrac13;-\dfrac{1}{12}\right)
\end{array}\)