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

If the extremities of a diagonal of a square are $(1, 2, 3)$ and $(2, -3, 5)$, then its side is of length

If the centroid of the tetrahedron $OABC$,where $O$ is the origin $(0, 0, 0)$ and $A, B, C$ are given by $(a, 2, 3)$,$(1, b, 2)$,and $(2, 1, c)$ respectively,is $(1, 2, -1)$,then the distance of point $P(a, b, c)$ from the origin is equal to:

Which of the following is at a distance of $\sqrt{10}$ from the point $(1, 2, 3)$?

The coordinates of the point $P$ which is equidistant from the points $A(a, 0, 0)$,$B(0, b, 0)$,$C(0, 0, c)$,and $O(0, 0, 0)$ are .......... where $a, b, c \neq 0$.

If the sum of the squares of the distances of the point $P(x, y, z)$ from the coordinate axes is $242$,then the distance of the point $P$ from the origin is . . . . . . units.