If - - - - a1 b1 c1- a2 b2 c2- a3 b3 c3 - and A2- B2- C2 are respectively cofactors of a2-b2-c2 then a1A2-b1B2-c1C2 is

The correct option is B 0 Δ = a _ 1 amp; b _ 1 amp; c _ 1 a _ 2 amp; b _ 2 amp; c _ 2 a _ 3 amp; b _ 3 amp; c _ 3 ...

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Area Method to Find Condition for Co-Linearity

If Δ = | [ ...

Question

If $Δ = ∣ ∣ ∣ ∣ \begin{matrix} a_{1} & b_{1} & c_{1} a_{2} & b_{2} & c_{2} a_{3} & b_{3} & c_{3} \end{matrix} ∣ ∣ ∣ ∣$ and $A_{2}$ , $B_{2}$ , $C_{2}$ are respectively cofactors of $a_{2}, b_{2}, c_{2}$ then

$a_{1} A_{2} + b_{1} B_{2} + c_{1} C_{2}$ is

- Δ

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none of these

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Δ = ∣ ∣ ∣ ∣ \begin{matrix} a_{1} & b_{1} & c_{1} a_{2} & b_{2} & c_{2} a_{3} & b_{3} & c_{3} \end{matrix} ∣ ∣ ∣ ∣

A_{2}, B_{2}, C_{2}

a_{2}, b_{2}, c_{2}

a_{1} A_{2} + b_{1} B_{2} + c_{1} C_{2}

△ = ⎡ ⎢ ⎣ \begin{matrix} a_{1} & b_{1} & c_{1} a_{2} & b_{2} & c_{2} a_{3} & b_{3} & c_{3} \end{matrix} ⎤ ⎥ ⎦

A_{2}, B_{2}, C_{2}

a_{2}, b_{2}, c_{2}

a_{1} A_{2} + b_{1} B_{2} + c_{1} C_{2}

Two lines whose direction ratios are a₁, b₁, c₁ and a₂, b₂, c₂ are perpendicular, if

Δ = 27

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

Δ = ∣ ∣ ∣ ∣ ∣ \begin{matrix} l & a^{2} & a^{3} l & b^{2} & b^{3} l & c^{2} & c^{3} \end{matrix} ∣ ∣ ∣ ∣ ∣

Δ

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