If \( a_{1} \) and \( a_{2} \) are two values of a for which the un...

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If \( a_{1} \) and \( a_{2} \) are two values of a for which the unit
\( \mathrm{P} \) vectors \( a \hat{i}+b \hat{j}+\frac{1}{2} \hat{k} \) is linearly dependent with

W \( \hat{i}+2 \hat{j} \) and \( \hat{j}-2 \hat{k} \), then \( \frac{1}{a_{1}}+\frac{1}{a_{2}} \) is equal to
(1) 1
(2) \( \frac{1}{8} \)
(3) \( \frac{16}{11} \)
(4) \( \frac{-16}{11} \)
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