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

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

d = 13.9283 units.

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\ =\ √((x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2))`

`=\ √((0-9)^2+|(0-7)^2+(0-8)^2))`

`=\ √((-9)^2+(-7)^2+(-8)^2))`

`=\ √(81+49+64)`

`=\ √(194)`

= 13.9283

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