A positive point charge `50mu C` is located in the plane xy at a point with radius vector `vecr_(0)=2hat(i)+3hat(j)`. The electric field vector `vec(E )` at a point with radius vector `vec(r )=8 hat(i)-5 hat(j)`, where `r_(0)` and r are expressed in meter, is

Explanation

`barE=(1)/(4pi in_(0)) (q)/(r^(3)) barr`, here `q= 50xx10^(-6)C`
`vecr = (vecr_(2) -vecr_(1)) = ( 8hati-5hatj) -(2hati +3hatj) = (6hati-8hatj)`
then `barE=450 (6hati-8hatj)NC^(-1)`.