Let $A, B, C$ be the feet of perpendiculars from a point $P$ on the $x, y, z$-axes respectively. Find the coordinates of $A, B$ and $C$ for the following points $P$:
$(i)$ $(3, 4, 2)$
$(ii)$ $(-5, 3, 7)$
$(iii)$ $(4, -3, -5)$

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(N/A) The coordinates of the feet of perpendiculars from a point $P(x, y, z)$ onto the axes are:
- On the $x$-axis,the foot of the perpendicular is $A(x, 0, 0)$.
- On the $y$-axis,the foot of the perpendicular is $B(0, y, 0)$.
- On the $z$-axis,the foot of the perpendicular is $C(0, 0, z)$.
Applying this to the given points:
$(i)$ For $P(3, 4, 2)$: $A(3, 0, 0), B(0, 4, 0), C(0, 0, 2)$.
$(ii)$ For $P(-5, 3, 7)$: $A(-5, 0, 0), B(0, 3, 0), C(0, 0, 7)$.
$(iii)$ For $P(4, -3, -5)$: $A(4, 0, 0), B(0, -3, 0), C(0, 0, -5)$.

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