Question

I need help with this practiceI believe the subject for this is complex numbers and vectors

Answer 1

Given that the vector a expressed is expressed in magnitude and direction as

`\vec{a}=<√(26),140^0>`

We can find the compnent form below.

Step-by-step explanation

The above form of vector a corresponds with the polar coordinates

Therefore, to get the component form we must convert to its cartesian coordinates.

`x=rcos\theta\text{ and y=}rsin\theta`

Therefore;

`\begin{gathered} x=√(26)* cos140^0\text{ and }y=√(26)* sin140^0 \\ x=-3.91\text{ and }y=3.28 \end{gathered}`

Answer: (-3.91, 3.28)