To simplify
we need to use the fact that
Why the absolute value? It's because .
We start by rewriting as
Since , we have
, and the above reduces to
Then we pull out any 4th powers under the radical, and simplify everything we can:
where allows us to write
, and this also means that
. So we end up with
making the last option the correct answer.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.
A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.
The attached table shows the desired values and expressions.
