Let 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

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Correct answer: D. neither x nor y

Here, [a b c]=|a (b c)| Now, according to question, aligned [ array lll a & b c array ] & = | array ccc 1 & 0 & -1 \ x & 1 & 1 - x \ y & x & 1+x-y array | \ & =1(1+x-y-x(1-x))-1 (x^2-y ) \ & =1+x-y-x+x^2-x^2+y \ & =1 \ & = Independent of x and y . aligned

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