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A ray of light is incident on a surface in a direction given by vector \( \vec{A}=2 \hat{i}-2 \hat{j}+\hat{k} \). The normal to that surface passing through the point of incidence is along the vector \( \vec{N}=\hat{j}-2 \hat{k} \). The unit vector in the direction of reflected ray is given by \( \vec{R}=a \hat{i}+b \hat{j}+c \hat{k} \). Find three equations in terms of \( a, b, c \) using which we can find the values of \( a, b \) \& c.
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