Q:

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

Accepted Solution

A:
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[tex]d\ =\ \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2)}[/tex]        [tex]=\ \sqrt{(0-9)^2+|(0-7)^2+(0-8)^2)}[/tex]        [tex]=\ \sqrt{(-9)^2+(-7)^2+(-8)^2)}[/tex]        [tex]=\ \sqrt{81+49+64}[/tex]          [tex]=\ \sqrt{194}[/tex]    = 13.9283Hence, the distance between two points R=(9,7,8) and origin is 13.9283 units.