A wire of length `a` carries a current I along the y-axis.A magnetic field exists given by
`B=B_(0)(3hati+2hatj+hatk)T`
Calculate magnetic force in vector from and its magnitude

Explanation

`vec(l) = L hat(j)`
`vec(F) = i(vec(l) xx vec(B))`
`= I L B_(0) [hat(j) xx (2hat(i) + 3 hat(j) + hat(k))]`
`= iLB_(0)[-2 hat(k) + 0 + hat(i)]`
`= B_(0)iL(hat(i) - 2 hat(k))`
`|vec(F)| = F = B_(0) iLsqrt((1)^(2) + (-2)^(2))`
`= sqrt(5)B_(0) iL`