An Area in Skew Coordinates

★ 6/10Linear Algebra analytic geometry vectors

Problem

Let $A(1,-1)$ , $B(3,0)$ , $C(2,1)$ . The region $D$ consists of all points $P$ satisfying

\overrightarrow{AP}=\lambda\overrightarrow{AB}+\mu\overrightarrow{AC},\qquad 1\leqslant\lambda\leqslant 2,\ 0\leqslant\mu\leqslant 1.

Find the area of $D$ .

Answer

Solution

Difficulty	6/10
Topics	Linear Algebra, analytic geometry, vectors

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