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
\[ \vec{a}\cdot\vec{c}=11\ \text{ and }\ \vec{b}\cdot\vec{c}=22\text{ .} \]
\( \vec{c}=(2+5k,-1+3k),\ k\in\mathbb{R} \)
\( \vec{c}_1=(7,2),\ \vec{c}_2=(-7,-2) \)
\( \vec{c}=(2k,-k),\ k\in\mathbb{R} \)
\( \vec{c}_1=(2,-1),\ \vec{c}_2=(-2,1) \)