The direction cosines of the line which bisects the angle between the positive direction of $Y$ and $Z$ axes are

Let $P(x, y, z)$ be a point in the first octant,whose projection in the $xy$-plane is the point $Q$. Let $OP = \gamma$; the angle between $OQ$ and the positive $x$-axis be $\theta$; and the angle between $OP$ and the positive $z$-axis be $\phi$,where $O$ is the origin. Then the distance of $P$ from the $x$-axis is:

The direction cosines of a line which lies in the $ZOX$ plane and makes an angle of $30^{\circ}$ with the $Z$-axis are

If $O$ is the origin and $OP = 3$ with direction ratios $-1, 2, -2$,then the coordinates of $P$ are:

If a line makes angles $\alpha, \beta, \gamma$ with the coordinate axes, then the sum of values of $\sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma$ and $\cos 2\alpha + \cos 2\beta + \cos 2\gamma$ is ...

$A$ straight line is equally inclined to all the three coordinate axes. Then,the angle made by the line with the $y$-axis is