Level:
Project ID:
1003040201
Accepted:
1
Clonable:
0
Easy:
0
We are given the vectors $\vec{a}=(-1, 2,3)$, $\vec{b}=(3, 1, -2)$ and $\vec{c}=(1, 2,-1)$. Find the coordinates of a vector $\vec{v}$, such that $\vec{v}$ is perpendicular to both vectors $\vec{a}$ and $\vec{b}$, while $\vec{v}\cdot\vec{c}=12$ holds.
$\vec{v}=(-6,6,-6)$
$\vec{v}=(6,-6,6)$
$\vec{v}=(-7,7,-7)$
$\vec{v}=(7,-7,7)$