Question

the distance of the point (0,-4,4) from the origin is _____.​

Answer 1

Answer:

(0,0,0)

Step-by-step explanation:

it is origin of graph

Answer 2

The distance of the point (0,-4,4) from the origin is 4√2

Given:  (0, -4, 4) is a three dimensional coordinate

To find: The distance of the point from origin

Solution:

The formula for the distance of a three dimensional coordinate (x, y, z) from origin is given by  d = $\sqrt{x^{2} +y^{2}+z^{2} }$  

⇒ The distance of the point (0, -4, 4) from the origin

d = $\sqrt{0^{2} +(-4)^{2}+4^{2} }$  

d = $\sqrt{0 +16+16 }$

d = $\sqrt{2(16) }$

d =  4√2

Therefore, the distance of the point (0,-4,4) from the origin is 4√2

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