# Do you feel something missing!

A ball with the initial velocity $$u = 3i + 4j$$ collides with the smooth wall and rebounds with the final velocity $$v = 2i - 3j$$. Find the coefficient of restitution for the collision.

Your answer can be represented as $$e$$ = $$\dfrac{a}{b}$$, where a and b are coprime numbers.

Enter your answer as $$a + b$$.

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