If the resultant of three forces `vecF_1= phati +3hatj-hatk , vecF_2 =-5hati+hatj+2hatk and vecF_3= 6hati -hatk` acting on a particle has a magnitude equal to 5 units, then what is difference in the values of `p` ?

Answer

`(2,-4)`

Explanation

let R be the resultant. Then
`R=F_(1)+F_(2)+F_(3)=(p+1)hati+4hatj`
Given `|R|=5,` therefore `R^(2)=25`
`because(p+1)^(2)+16=25` or p+1=`+-3` or p=2,-4