1.

Show that the lines \(\frac{x - 5}{7} = \frac{y + 2}{-5} = \frac{z}{1}\; and\; \frac{x}{1} = \frac{y}{2} = \frac{z}{3}\) are perpendicular to each other.

Answer»

Dr’s are (7,-5,1), and (1, 2, 3) 

a1b1+ a2b2 + a3b3 

7 x 1 - 5 x 2 + 1 x 3 

⇒ 10 – 10 = 0 

The products of Dr’s are equal, lines are ‘⊥’



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