Answer:
The distance r is [tex](7i-2j-2k)\times10^{-10}\ m[/tex]
Explanation:
Given that,
Origin [tex]r_{1}=(0i+0j+0k)\ m[/tex]
Position of proton [tex]r_{2}=(7i-2j-2k)\times10^{-10}\ m[/tex]
Here, r is the distance from origin to the location of the proton
We need to calculate the distance
Using formula of distance
[tex]r=r_{2}-r_{1}[/tex]
Where, r₁= origin
r₂ = position of proton
Put the value into the formula
[tex]r=(7i-2j-2k)\times10^{-10}-0i+0j+0k[/tex]
[tex]r=(7i-2j-2k)\times10^{-10}\ m[/tex]
Hence, The distance is [tex](7i-2j-2k)\times10^{-10}\ m[/tex]