Let a^{\to},b^{\to},c^{\to} be three non-coplanar vectors. Let S_i (i = 1 , 2 , 3 , 4 , 5 , 6) denote the six scalar triple products formed by all possible permutations of a^{\to},b^{\to},c^{\to}. If i , j , k , l are randomly chosen distinct numbers from 1 to 6 and if x = S_i/S_j+S_k/S_l , y =S_i/S_j-S_k/S_l then x^2+y^2 =

AP EAMCET Engineering 22 Apr 2019 Shift 2 Paper

Section: Mathematics

Question : 33 of 160

Marks: +1, -0

Let

→

be three non-coplanar vectors. Let Si (i = 1 , 2 , 3 , 4 , 5 , 6) denote the six scalar triple products formed by all possible permutations of

→

. If i , j , k , l are randomly chosen distinct numbers from 1 to 6 and if x =

, y =

−

then x2+y2 =

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