Question

The figure shows two kayakers pulling a raft. One kayaker pulls with force vector F sub 1 equals open angled bracket 190 comma 160 close angled bracket comma and the other kayaker pulls with force vector F sub 2 equals open angled bracket 128 comma negative 121 close angled bracket periodWhat is the angle between the kayakers? Round your answer to the nearest degree.

Answer 1

Given

$\begin{gathered} F_1=<190,160> \\ F_2=<128,-121> \end{gathered}$

To find the angle between them.

Now,

It is given that,

$\begin{gathered} F_1=<190,160> \\ F_2=<128,-121> \end{gathered}$

Then,

$\begin{gathered} F_1\cdot F_2=|F_1\mleft\Vert F_2\mright|\cos \theta \\ \therefore\cos \theta=\frac{F_1\cdot F_2}{|F_1\mleft\Vert F_2\mright|} \end{gathered}$

That implies,

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