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

The distance between the origin and the given point is 13.9283 units.

Explanation:

The coordinates of origin are (0,0,0)

We are given a point R(9,7,80

The distance formula:

`√((y_1 -x_1)^2 + (y_2 -x_2)^2 + (y_3 -x_3)^2)`, where
`(x_1, x_2, x_3)` are coordinates of one point and
`(y_1, y_2, y_3)` are coordinates of other point.

Putting the values as:

`y_1 = 9, y_2 = 7, y_3 = 8\\x_1 =0, x_2 = 0, x_3 = 0`

We get d =
`√(81 + 64 + 49)`

d =
`√(194)`

d = 13.9283

Thus, the distance between the origin and the given point is 13.9283 units.