Find the Cartesian form the equation of the plane ` vec r=(s+t) hat i+(2+t) hat j+(3s+2t) hat kdot`=15

Explanation

` vec rcdot(s+t) hat i+(2+t) hat j+(3s+2t) hat k=15`

Put `vec r=xhati+yhatj+zhatk`

In cartesian form, required equation is,

`(xhati+yhatj+zhatk)cdot[(s+t) hat i+(2+t) hat j+(3s+2t) hat k]=15`

`implies x(s+t)+y(2+t)+z(3s+2t)=15`