For the equation $F\propto A^a{\upsilon }^b{d}^c,$ where F is the force, A is the area, v is the velocity and d is the density, the values of a, b and c are respectively

As, $\left[ML{T}^{-2}\right]=\left[L^{2a}\right]\left[L^b{T}^{-b}\right]\left[M^c{L}^{-3c}\right]=\left[M^c{L}^{2a+b-3c}{T}^{-b}\right]$

Comparing powers of M, L and T, we get

$c=1,2a+b-3c=1,-b=-2orb=2$

2a + 2 -3(1) =1

$\Rightarrow 2a=2$

$ora=1$