Find the distance between the points $P(1, -3, 4)$ and $Q(-4, 1, 2)$.

  • A
    $3\sqrt{5}$
  • B
    $5\sqrt{3}$
  • C
    $4\sqrt{5}$
  • D
    $2\sqrt{5}$

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The distance of the point $P(a, b, c)$ from the $x$-axis is

$A$ point moves such that the sum of the squares of its distances from the coordinate axes is $36$. Find the distance of this point from the origin.

Locate the following points in a three-dimensional Cartesian coordinate system:
$(i)$ $(1, -1, 3)$
$(ii)$ $(-1, 2, 4)$
$(iii)$ $(-2, -4, -7)$
$(iv)$ $(-4, 2, -5)$

Show that the points $(-2, 3, 5), (1, 2, 3),$ and $(7, 0, -1)$ are collinear.

The shortest distance of the point $(a, b, c)$ from the $X-$axis is:

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