beginvmatrix 0 - a -b l-a - 0 - c l lb -c - 0lend vmatrix -1 A- -2 a b cB- abcC- 0 D- a2-b2-c2

The correct option is C 00 amp; a amp; b a amp; 0 amp; c b amp; c amp; 0 =0 (Since value of determinant of skew symmetric matrix of odd ...

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Cramer's Rule

beginvmatrix ...

Question

$∣ ∣ ∣ ∣ \begin{matrix} 0 & a & - b - a & 0 & c b & - c & 0 \end{matrix} ∣ ∣ ∣ ∣ =$

-2abc

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abc

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0.0

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a^{2} + b^{2} + c^{2}

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I f s i n^{- 1} a + s i n^{- 1} b + s i n^{- 1} c = π, t h e n t h e v a l u e o f a \sqrt{(1 - a^{2})} + b \sqrt{(1 - b^{2})} + c \sqrt{(1 - c^{2})} w i l l b e

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\frac{1}{b^{2} + c^{2} - a^{2}} + \frac{1}{c^{2} + a^{2} - b^{2}} + \frac{1}{a^{2} + b^{2} - c^{2}}

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