Final answer:
After a 90° clockwise rotation about the origin, F' would be (-5, -5).
Step-by-step explanation:
To find F' after a 90° clockwise rotation about the origin, we can use the rotation matrix:
cos(θ) -sin(θ)
sin(θ) cos(θ)
For a 90° clockwise rotation, θ = -90°. Substituting the coordinates of F into the matrix, we get:
(5, -5) x (0 -1) = (-5, -5)
Therefore, F' would be (-5, -5).