Respuesta :
Answer:
Option B is correct.
Step-by-step explanation:
The distance formula used is:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}[/tex]
We need to find distance between origin and other point (3,-4,5)
Origin is: (0,0,0)
x₁ = 0, y₁ = 0, z₁ =0 and x₂= 3, y₂= -4 and z₂ = 5
Putting values in the distance formula we get:
[tex]d=\sqrt{(3-0)^2+(-4+0)^2+(5-0)^2}\\d=\sqrt{(3)^2+(-4)^2+(5)^2}\\d=\sqrt{9+16+25}\\d=\sqrt{50}\\d=7[/tex]
The Distance from the origin to the point (3, −4, 5) is 7 units.
Option B is correct.