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Q.
Distance between the points $(2,3,5)$ and $(4,3,1)$ is $a \sqrt{5}$. The value of ' $a$ ' is
Introduction to Three Dimensional Geometry
Solution:
The given points are $(2,3,5)$ and $(4,3,1)$.
$\therefore $ Required distance $=\sqrt{(4-2)^{2}+(3-3)^{2}+(1-5)^{2}}$
$=\sqrt{4+0+16}=\sqrt{20}=2 \sqrt{5}$