Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems If and then the value of vmatrix a_1 & a_2 & a_3 b_1 & b_2 & b_3 c_1 & c_2 & c_3…
MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants
Problem If a i 2 + b i 2 + c i 2 = 1 ( i = 1 , 2 , 3 ) a_i^2 + b_i^2 + c_i^2 = 1 \,(i = 1, 2, 3) a i 2 + b i 2 + c i 2 = 1 ( i = 1 , 2 , 3 ) a i a j + b i b j + c i c j = 0 ( i ≠ j , i , j = 1 , 2 , 3 ) a_i a_j + b_i b_j + c_i c_j = 0 \,(i \neq j,\, i, j = 1, 2, 3) a i a j + b i b j + c i c j = 0 ( i = j , i , j = 1 , 2 , 3 ) ∣ a 1 a 2 a 3 b 1 b 2 b 3 c 1 c 2 c 3 ∣ 2 is \begin{vmatrix} a_1 & a_2 & a_3 \\ b_1 & b_2 & b_3 \\ c_1 & c_2 & c_3 \end{vmatrix}^2 \text{ is} a 1 b 1 c 1 a 2 b 2 c 2 a 3 b 3 c 3 2 is Browse the problem library