Question #351011
  • Find the area of ​​a triangle constructed on vectors а‾ = ı‾ + ȷ‾ , ̅b‾=2ȷ‾.
1
Expert's answer
2022-06-16T10:33:46-0400
a×b=ijk110020=k(20)=2k\vec{a}\times\vec{b}=\begin{vmatrix} \vec{i} & \vec{j}& \vec{k} \\ 1 & 1 & 0 \\ 0 & 2 & 0 \\ \end{vmatrix}=\vec{k}(2-0)=2\vec{k}Area=A=12a×b=12(2)=1(units2)Area=A=\dfrac{1}{2}|\vec{a}\times\vec{b}|=\dfrac{1}{2}(2)=1({units}^2)

1 square unit.


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