Answer :

We have,


x – y + z – 5 = 0 = x – 3y – 6


x – y + z – 5 = 0


x – 3y – 6 = 0


x – y + z – 5 = 0 (1)


x = 3y + 6 (2)


From (1) and (2) we get,


3y + 6 – y + z – 5 = 0


2y + z + 1 = 0


y


Also, y From (2)



So, the given equation can be re-written as



Hence the direction ratios of the given line are proportional to 3,1,-2.

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