Given that the vector a expressed is expressed in magnitude and direction as
[tex]\vec{a}=<\sqrt{26},140^0>[/tex]
We can find the compnent form below.
Explanation
The above form of vector a corresponds with the polar coordinates
[tex][/tex]
Therefore, to get the component form we must convert to its cartesian coordinates.
[tex]x=rcos\theta\text{ and y=}rsin\theta[/tex]
Therefore;
[tex]\begin{gathered} x=\sqrt{26}\times cos140^0\text{ and }y=\sqrt{26}\times sin140^0 \\ x=-3.91\text{ and }y=3.28 \end{gathered}[/tex]
Answer: (-3.91, 3.28)
