The magnitude of the vector `hat(i)+xhat(j)+3hat(k)` is half of the magnitude of vector `4hat(i)+(4x-2)hat(j)+2hat(k)` . The values of x are ?

Answer

`-2//3, 2`

Explanation

`(1)/(2)sqrt(1^(2)+x^(2)+3^(2))=sqrt(4^(2)(4x-)^(2)+2^(2))`
`x=-(2)/(3),2`