Find the distance between the points : C(9,−12,−8) and the origin.

Engineering

Mathematics

Distance Formulae and Its Application

theorem in space

Distance from a Plane

Question

Find the distance between the points : C(9,−12,−8) and the origin.

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Given: C(9,–12,–8) & origin.

To find:

Distance b/w the points.

Solution:

We know that co-ordinate of origin is (0,0,0)

Let O = (0,0,0)

$∴ \vec{OC} = \sqrt{(9 - 0)^{2} + (- 12 - 0)^{2} + (- 8 - 0)^{2}}$

$= \sqrt{81 + 144 + 64} = \sqrt{289} = 17$

Hence, answer is 17 units.