Question

Se considera paralelogramul ABCD si punctul E astfel incat (vector)AB = 4*(vector)AE. Determinaţi nr reale a si b astfel incat (vector)CE = a * (vector)AB + b * (vector)AD

VA ROG !!!
DAU COROANA!+45 PUNCTE

Answer 1

$\it \overline{AB}=4\overline{AE}\Rightarrow \overline{EB} = \dfrac{3}{4}\overline{AB}   \\ \\ \overline{CE} = \overline{CB} +\overline{BE} =-\overline{BC} -\overline{EB} =-\overline{AD} -\dfrac{3}{4}\overline{AB} =-\dfrac{3}{4}\overline{AB} +(-1)\overline{AD} \\ \\ \\ a=-\dfrac{3}{4},\ \ \ b=-1$