Find the distance between the points : R(1,−3,4) and S(4,−2,−3).

Engineering

Mathematics

Distance Formulae and Its Application

theorem in space

Equation of Straight Line in 3D and Distance Of a Point From Line

Question

Find the distance between the points : R(1,−3,4) and S(4,−2,−3).

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Given : R(1,–3,4) & S(4,–2,–3)

To Find : Distance b/w the points

Solution R(1,–3,4) & S(4,–2,–3)

$∴ \vec{RS} = \sqrt{(4 - 1)^{2} + (- 2 + 3)^{2} + (- 3 - 4)^{2}}$

$= \sqrt{9 + 1 + 49}$

$= \sqrt{59} units$

Hence, answer is $= \sqrt{59}$ units.