Given the vector \mathbf{u}u equal to 5\left<\cos 215^{\circ},\,\sin 215^{\circ}\right>5⟨cos215 ∘ ,sin215 ∘ ⟩ and vector \mathbf{v}v equal to 6\left<\cos 5^{\circ},\,\sin 5^{\circ}\right>,6⟨cos5 ∘ ,sin5 ∘ ⟩, find the sum \mathbf{u}+\mathbf{v}u+v and write your answer in magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree, 0^{\circ}\le \theta < 360^{\circ}.0 ∘ ≤θ<360 ∘

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c