Vectors $u,v,$ and $w$ are given by

$u=a_1+2a_2+3a_3$

$v=b_1+c_2+d_3$

$w=d_1+2d_2+q_3{d}_3$

For each of the vectors $u,v,$ and $w,$ for each of the variables $q_1,q_2,$ and $q_3,$ and

for each of the reference frames $A,$dots,$D,$ determine whether or not the vector is a

function of the variable in the reference frame. Use the letters Y and N$,$ standing

for "yes" and $"$no$,"$ respectively, to indicate your results, as shown below. can you please slove this problem with derivatives method