The non-zero vectors $\vec{a}$, $\vec{b}$ and $\vec{c}$ are related by $\vec{a} = 8\vec{b}$ and $\vec{c} =…
The non-zero vectors $\vec{a}$, $\vec{b}$ and $\vec{c}$ are related by $\vec{a} = 8\vec{b}$ and $\vec{c} = -7\vec{b}$. Then the angle between $\vec{a}$ and $\vec{c}$ is
$\pi$
0
Solution
$\vec{a} = 8\vec{b}$
$\vec{c} = -7\vec{b}$
$\vec{a}$ and $\vec{b}$ are parallel and
$\vec{b}$ and $\vec{c}$ are antiparallel.
Thus $\vec{a}$ and $\vec{c}$ are antiparallel.
Hence the angle between $\vec{a}$ and $\vec{c}$ is $\pi$.