contestada

A proton is located at 7 ✕ 10−10, −2 ✕ 10−10, −2 ✕ 10−10 m. (a) What is r, the vector from the origin to the location of the proton?

Respuesta :

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]