Answer:
To find the angle between the vectors (-9, -7) and (8, - 4).
Explanation:
Given corresponding vector points are (-9, -7) and (8,- 4).
we have that,
[tex]\vec{a}\vec{.b}=\vec{|a}\vec{||b}|cos\theta[/tex]To find the angle theta.
The given vectors are,
[tex]\begin{gathered} \vec{a}=-\vec{9i}-\vec{7j}\text{ } \\ \vec{b}=\vec{8i}-\vec{4j} \end{gathered}[/tex]Solving for the required values we get,
[tex]\vec{|a}|=\sqrt{81+49}=\sqrt{130}[/tex][tex]\vec{|b}|=\sqrt{64+16}[/tex]Also,
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