If a = i - k , b =x i + j +(1-x) k and c =y i +x j +(1+x-y) k then [ a b c ] depends on

Step-by-step solution

aligned & [ a b c ]= | array ccc 1 & 0 & -1 x & 1 & 1-x y & x & 1+x-y array |= | array ccc 0 & 0 & -1 1 & 1 & 1-x 1+x & x & 1+x-y array | & =-1(x-1-x) & =1 which is independent of both x and y aligned