Question

Find the distance between the origin and the point R = (9,7,8). The distance is: Ensure that you use at least 4 decimal place accuracy or exact values

Answer 1

Answer:

Distance between points R=(9,7,8) and origin is,

d = 13.9283 units.

Step-by-step explanation:

We have to calculate the distance between the two points,

Where,

the first point is origin, i.e.

Q = (0,0,0)

and R = (9,7,8)

According to distance formula, the distance between two points can be given by

$d\ =\ \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2)}$    

   $=\ \sqrt{(0-9)^2+|(0-7)^2+(0-8)^2)}$    

   $=\ \sqrt{(-9)^2+(-7)^2+(-8)^2)}$    

   $=\ \sqrt{81+49+64}$      

   $=\ \sqrt{194}$

   = 13.9283

Hence, the distance between two points R=(9,7,8) and origin is 13.9283 units.