1003030605

Level: 
Project ID: 
1003030605
Accepted: 
1
Clonable: 
0
Easy: 
0
Let \( \vec{a}=(3;-5) \) and \( \vec{b}=(6;-10) \). Find all the vectors \( \vec{c} \) such that \[ \vec{a}\cdot\vec{c}=11\ \text{ and }\ \vec{b}\cdot\vec{c}=22\text{ .} \]
\( \vec{c}=(2+5k;-1+3k);\ k\in\mathbb{R} \)
\( \vec{c}_1=(7;2);\ \vec{c}_2=(-7;-2) \)
\( \vec{c}=(2k;-k);\ k\in\mathbb{R} \)
\( \vec{c}_1=(2;-1);\ \vec{c}_2=(-2;1) \)