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in 3D Coordinate Geometry by (30.7k points)
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Find the distances of the point P (-4, 3, 5) from the coordinate axes.

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Given: Point P(-4, 3, 5) 

To find: distances of the point P from coordinate axes 

The distance of the point from x-axis will be given by,

\(\sqrt{y^2+z^2}\) 

\(\sqrt{3^2+5^2}\) 

\(\sqrt{9+25}\) 

\(\sqrt{34}\) 

The distance of the point from y-axis will be given by,

 = \(\sqrt{x^2+z^2}\) 

\(\sqrt{(-4)^2+5^2}\) 

\(\sqrt{16+25}\) 

\(\sqrt{41}\)  

The distance of the point from z-axis will be given by,

 = \(\sqrt{x^2+y^2}\) 

\(\sqrt{(-4)^2+3^2}\) 

\(\sqrt{16+9}\) 

\(\sqrt{25}\)  

= 5

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