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In class, we had defined the unit vector ?̂ as a vector tangential to unit vector...

In class, we had defined the unit vector ?̂ as a vector tangential to unit vector ? in the counterclockwise direction when the radial line makes an angle ∅ with the x-axis. Decompose unit vector ?̂ in terms of unit vectors ?̂ and ?̂.

(unit vector problem)

The answer to this question is

− sin(∅) ?̂ + cos(∅) ŷ

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