1103020804

SubArea: 
Points and Vectors
Level: 
A
Project ID: 
1103020804
Accepted: 
1
Clonable: 
0
Easy: 
0
In the parallelogram \( ABCD \) shown in the picture, \( G \) is the midpoint of \( CD \), \( F \) is the midpoint of \( BC \) and \( \vec{u}=\overrightarrow{CG} \), \( \vec{v}=\overrightarrow{CF} \), \( \vec{a}=\overrightarrow{AD} \) and \( \vec{b}=\overrightarrow{AC} \). Express vectors \( \vec{a} \) and \( \vec{b} \) as a linear combination of vectors \( \vec{u} \) and \( \vec{v} \).
\( \vec{a}=-2\vec{v};\ \vec{b}=-2\vec{u}-2\vec{v} \)
\( \vec{a}=\vec{b}+2\vec{u};\ \vec{b}=-2\vec{u}+2\vec{v} \)
\( \vec{a}=\vec{b}-2\vec{u};\ \vec{b}=-\sqrt2\vec{u}-\sqrt2\vec{v} \)
\( \vec{a}=-2\vec{v};\ \vec{b}=2\vec{u}+2\vec{v} \)