If non-zero vectors vec{a},vec{b},and vec{c} | vedclass

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(D) Given that $\vec{a} = 8\vec{b}$ and $\vec{c} = -7\vec{b}$.Since $\vec{a}$ and $\vec{c}$ are expressed in terms of the same vector $\vec{b}$,we can

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$\pi$

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(D) Given that $\vec{a} = 8\vec{b}$ and $\vec{c} = -7\vec{b}$.Since $\vec{a}$ and $\vec{c}$ are expressed in terms of the same vector $\vec{b}$,we can write $\vec{a} = k_1 \vec{b}$ and $\vec{c} = k_2 \vec{b}$,where $k_1 = 8$ and $k_2 = -7$.Two vectors $\vec{a}$ and $\vec{c}$ are collinear if $\vec{a} = m \vec{c}$ for some scalar $m$.Substituting the expressions,we get $8\vec{b} = m(-7\vec{b})$.Since $\vec{b}$ is a non-zero vector,we can divide by $\vec{b}$ (or compare coefficients),which gives $8 = -7m$,so $m = -8/7$.Since $m The angle between two vectors $\vec{a}$ and $\vec{c}$ that are in opposite directions is $\pi$ radians (or $180^\circ$).

If non-zero vectors $\vec{a}$,$\vec{b}$,and $\vec{c}$ are related by $\vec{a} = 8\vec{b}$ and $\vec{c} = -7\vec{b}$,find the angle between $\vec{a}$ and $\vec{c}$.

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