Question

Find the angle between the vectors (-9, -7) and (8. - 4). Carry your intermediate computations to at least 4 decimal places. Round your final answer to thenearest degree

Answer 1

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,

$\vec{a}\vec{.b}=\vec{|a}\vec{||b}|cos\theta$

To find the angle theta.

The given vectors are,

$\begin{gathered} \vec{a}=-\vec{9i}-\vec{7j}\text{ } \\ \vec{b}=\vec{8i}-\vec{4j} \end{gathered}$

Solving for the required values we get,

$\vec{|a}|=\sqrt{81+49}=\sqrt{130}$$\vec{|b}|=\sqrt{64+16}$

Also,

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