aligned & If & a = i - k & b =x i + j +(1-x) k & c =y i +x j +(1+x-y) k aligned then a ( b c ) depends on

Step-by-step solution

a b c Now, b c = | array ccc i & j & k x & 1 & 1-x y & x & (1+x-y) array | array r = i (1+x-y-x+x^2 )- j (x+x^2-x y-y+x y ) + k (x^2-y ) array = i (1-y+x^2 )- j (x+x^2-y )+ k (x^2-y ) Now a ( b c ) aligned & =( i - k ) i (1-y+x^2 )- j (x+x^2-y )+ k (x^2-y ) & =1-y+x^2- (x^2-y ) & =1-y+x^2-x^2+y & =1 aligned