Câu hỏi
\(\Delta ABC\) có \(A\left( {1;1} \right);\,\,B\left( {2;5} \right);\,\,C\left( {0;3} \right)\) . \({S_{\Delta ABC}}\) là:
- A 2
- B 3
- C 4
- D 5
Lời giải chi tiết:
\(\left\{ \begin{array}{l}\overrightarrow {AB} = \left( {1;4} \right)\\\overrightarrow {AC} = \left( { - 1;2} \right)\end{array} \right. \Rightarrow {S_{\Delta ABC}} = \frac{1}{2}\left\| {\begin{array}{*{20}{c}}1&4\\{ - 1}&2\end{array}} \right\| = \frac{1}{2}\left| {2 + 4} \right| = 3\)
Chọn B.