Question

The position vectors of two balls are given by
`vec(r )_(1)=2 (m)i+7(m)j`
`vec(r )_(2)= -2(m)i+4(m)j`
What will be the distance between the two balls?

Answer 1

Correct Answer - `5 cm`
`vec(r )_(1)=2(m)hat(i)+7(m)hat(j)` and `vec(r )_(2)=-2mhat(i)+4mhat(j)`
`:. vec(r )_(1)- vec(r )_(2)= [2-(-2)]hat(i)+(7-4)hat(j)`
`:. |vec(r )_(1)-vec(r )_(2)|=sqrt((4)^(2)+(3)^(2))=sqrt((5)^(2))=5m`