Locus of the point \( P \), for which \( \overrightarrow{O P} \) represents a vector with direction \( \operatorname{cosine} \cos \alpha=\frac{1}{2} \) (where \( O \) is
\( \mathrm{P} \) the origin) is
(1) a circle parallel to the \( y-z \) plane with centre on the \( x \)-axis
W.
(2) a cone concentric with the positive \( x \)-axis having vertex at the origin and the slant height equal to the magnitude of the vector
(3) a ray emanating from the origin and making an angle of \( 60^{\circ} \) with the \( x \)-axis
(4) a disc parallel to the \( y-z \) plane with centre on the \( x \)-axis and radius equal to \( |\overrightarrow{O P}| \sin 60^{\circ} \)
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