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:

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

Step-by-step explanation:

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

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

The distance formula:

$\sqrt{(y_1 -x_1)^2 + (y_2 -x_2)^2 + (y_3 -x_3)^2}$, 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 = $\sqrt{81 + 64 + 49}$

d = $\sqrt{194}$

d = 13.9283

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