1103024302

SubArea: 
Points and Vectors
Level: 
A
Project ID: 
1103024302
Accepted: 
1
Clonable: 
0
Easy: 
0
In a regular hexagon \( ABCDEF \) shown in the picture, let \( \vec{a} = \overrightarrow{AB} \), \( \vec{b} = \overrightarrow{BC} \), \( \vec{c} = \overrightarrow{FD} \) and \( \vec{d} = \overrightarrow{CD} \). Express vectors \( \vec{c} \) and \( \vec{d} \) as a linear combination of vectors \( \vec{a} \) and \( \vec{b} \).
\( \vec{c} = \vec{a} + \vec{b};\ \vec{d} = \vec{b} - \vec{a} \)
\( \vec{c} = 2\vec{a} + 2\vec{b};\ \vec{d} = 2\vec{b} - 0.5\vec{a} \)
\( \vec{c} = 2\vec{a} + \vec{b};\ \vec{d} = \vec{b} - \vec{a} \)
\( \vec{c} = \vec{a} + \vec{b};\ \vec{d} = \vec{a} - \vec{b} \)