If a vector \( 2 \hat{i}+3 \hat{j}+8 \hat{k} \) is perpendicular to...

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If a vector \( 2 \hat{i}+3 \hat{j}+8 \hat{k} \) is perpendicular to the vector
\( \mathrm{P} \)
\( 4 \hat{j}-4 \hat{i}+\alpha \hat{k} \). Then the value of \( \alpha \) is
W.
(1) -1
(2) \( \frac{1}{2} \)
(3) \( -\frac{1}{2} \)
(4) 1
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