Question

help please i am really stuck and need help

Answer 1

Start by computing the transformations:

Rotation of 90 degrees:
\[
R = \left[\begin{array}{cc}
\cos \frac{\pi}{2} & -\sin \frac{\pi}{2} \\
\sin \frac{\pi}{2} & \cos \frac{\pi}{2}
\end{array}\right]
= \left[\begin{array}{cc}
0 & -1 \\
1 & 0
\end{array}\right]\]
Rotation of 180 degrees:
\[
R = \left[\begin{array}{cc}
\cos \pi & -\sin \pi \\
\sin \pi & \cos \pi
\end{array}\right]
= \left[\begin{array}{cc}
-1 & 0 \\
0 & -1
\end{array}\right]\]
Rotation of 270 degrees:
\[
R = \left[\begin{array}{cc}
\cos \frac{3}{2}\pi & -\sin \frac{3}{2}\pi \\
\sin \frac{3}{2}\pi & \cos \frac{3}{2}\pi
\end{array}\right]
= \left[\begin{array}{cc}
0 & 1 \\
-1 & 0
\end{array}\right]\]

Answer 2

Now apply the transformations to the coordinate vectors.

Answer 3

and how would i do that?