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Unit vectors \( \mathrm{a}, \mathrm{b} \) and \( \mathrm{c} \) are coplanar. A unit vector \( \mathrm{d} \)
P is perpendicular to them.

W
If \( (a \times b) \times(c \times d)=\frac{1}{6} i-\frac{1}{3} j+\frac{1}{3} k \) and the angle between a and \( \mathrm{b} \) is \( 30^{\circ} \), then \( c \) is:
(1) \( \frac{(i-2 j+2 k)}{3} \)
(2) \( \frac{(2 i+j-k)}{3} \)
(3) \( \frac{(-i+2 j-2 k)}{3} \)
(4) \( \frac{(-i+2 j+k)}{3} \)
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