The perpendicular distance of the point $(3, 4, 5)$ from the $y$-axis is

$A$ point lies in the $yz$-plane,and the sum of its coordinates is $3$. If the distance of the point from the $xz$-plane is twice the distance of the point from the $xy$-plane,find its coordinates.

Find the coordinates of a point on the $y$-axis which is at a distance of $5\sqrt{2}$ from the point $P(3, -2, 5)$.

Find the distance from the origin to the point $(6, 6, 7)$.

If the coordinates of points $A$ and $B$ are $(3, 4, 5)$ and $(-1, 3, -7)$ respectively,find the equation of the locus of point $P(x, y, z)$ such that $PA^2 - PB^2 + 2k^2 = 0$.

The distance between the points $(1, 3, 2)$ and $(2, 1, 3)$ is: