Q$8-((((("$ab$"="89"))))->$ Make sure to apply them in the question because earlier solution via Chegg they never applied them.

Please solve the attached image question in details:

Firefighters use water hoses to suppress fires. The force exerted by

the water jet, modeled by the vector $F=-4i+6j+2k$ varies with time $t$ according

to the function $F(t)=(e^{-0\mathrm{.}1tab})F.$ Determine the magnitude and direction of the

force at time $t=5$ seconds. Discuss the dynamic nature of the water jet force,

considering both magnitude and direction, and how vector analysis is crucial for

adapting firefighting strategies over time.