F is going to be equal to Rho times M times the unit vector i plus Rho times N times the unit vector j now what are the units here? what's Rho times M- what units are we going to get there? and we're gonna get the same units when we do Rho times N we'll we're gonna have, if we pick these particular units, we're going to have kilograms per meter squared times meters per second so a little bit of dimensional analysis here this meter in the numerator will cancel out with one of the meters in the denominator and we are left with something kind of strange kilograms per meter second which is essentially what the- if you view this vector has a magnitude in some direction the magnitude component is going to have these units right over here and then we're going to take this and we're dotting it with N