If the lines x - k / 1 = y - 2 / 2 = z - 3 / 3 and x + 1 / 3 = y + 2 / 2 = z + 3 / 1 are co-planar, then the value of k is _____________.

As the lines and intersect, we have which on solving given 2 k^2+5 k-25=0 => 2 k^2+10 k-5 k-25=0 => 2 k(k+5)-5(k+5)=0 => (2 k-5)(k+5)=0 Therefore k=-5,5 / 2

If the lines x k 1 y 2 2 z 3 3 and x 1 3 y 2 2 z 3 1 ar... | (Mathematics)

As the lines and intersect, we have which on solving given $2 k^2+5 k-25=0$

$\Rightarrow 2 k^2+10 k-5 k-25=0 \\$

$\Rightarrow 2 k(k+5)-5(k+5)=0 \\$

$\Rightarrow(2 k-5)(k+5)=0 \\$

$\therefore k=-5,5 / 2$

Explanation

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