Question

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?

Answer 1

The distance r is
`(7i-2j-2k)*10^(-10)\ m`

Step-by-step explanation:

Given that,

Origin
`r_(1)=(0i+0j+0k)\ m`

Position of proton
`r_(2)=(7i-2j-2k)*10^(-10)\ m`

Here, r is the distance from origin to the location of the proton

We need to calculate the distance

Using formula of distance

`r=r_(2)-r_(1)`

Where, r₁= origin

r₂ = position of proton

Put the value into the formula

`r=(7i-2j-2k)*10^(-10)-0i+0j+0k`

`r=(7i-2j-2k)*10^(-10)\ m`

Hence, The distance is
`(7i-2j-2k)*10^(-10)\ m`