If the position vectors of the points 2i¯+3j¯−6k¯, 6i¯−2j¯+3k¯, 3i¯−6j¯−2k¯ and i¯+j¯−λ2k¯ are coplanar then 31λ2−233 is

4−591−94−1−26−λ2=04-54+9λ2+8+56-λ2+4+9-2-9=0On expanding 31λ2−233=0

If the position vectors of the points 2i¯+3j¯−6k¯, 6i¯−2j¯+3k¯, 3i¯−6j¯−2k¯ and i¯+j¯−λ2k¯ are coplanar then 31λ2−233 is

4−591−94−1−26−λ2=04-54+9λ2+8+56-λ2+4+9-2-9=0On expanding 31λ2−233=0

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If the position vectors of the points $2 \bar{i} + 3 \bar{j} - 6 \bar{k}, 6 \bar{i} - 2 \bar{j} + 3 \bar{k}, 3 \bar{i} - 6 \bar{j} - 2 \bar{k} a n d \bar{i} + \bar{j} - λ^{2} \bar{k}$ are coplanar then $31 λ^{2} - 233$ is

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$|\begin{matrix} 4 & - 5 & 9 \\ 1 & - 9 & 4 \\ - 1 & - 2 & 6 - λ^{2} \end{matrix}| = 0$

$4 (- 54 + 9 λ^{2} + 8) + 5 (6 - λ^{2} + 4) + 9 (- 2 - 9) = 0$

On expanding $31 λ^{2} - 233 = 0$

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If the position vectors of the points 2i¯+3j¯−6k¯, 6i¯−2j¯+3k¯, 3i¯−6j¯−2k¯ and i¯+j¯−λ2k¯ are coplanar then 31λ2−233 is

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If the position vectors of the points $2 \bar{i} + 3 \bar{j} - 6 \bar{k}, 6 \bar{i} - 2 \bar{j} + 3 \bar{k}, 3 \bar{i} - 6 \bar{j} - 2 \bar{k} a n d \bar{i} + \bar{j} - λ^{2} \bar{k}$ are coplanar then $31 λ^{2} - 233$ is