1.

If the lines \(\frac{x - 1}{-3} = \frac{y - 2}{-2k} = \frac{z - 3}{2},\; \frac{x - 1}{k} = \frac{y - 2}{1} = \frac{z - 3}{5}\) are ⊥r, find k

Answer»

Directions of tines are (-3, -2K, 2) and (K, 1,5) 

since lines are ⊥r a1b1 + a2b2 + a3b3 = 0 

-3 x K – 2K x 1 + 2 x 5 = 0 

-3K – 2K + 10 = 0, 

-5K = -10, K = 2



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