Question

The direction ratios of the lines x - y + z - 5 = 0 = x - 3y - 6 are ______ 

पर्याय

• 3, 1, -2

• 2, -4, 1

• `3/sqrt14, 1/sqrt14, (-2)/sqrt14`

• `2/sqrt41, (-4)/sqrt41, 1/sqrt(41)`

Answer 1

The direction ratios of the lines x - y + z - 5 = 0 = x - 3y - 6 are 3, 1, -2.

Explanation:

Let a, b, c be the direction ratios of the line.

∴ a - b + c = 0 and .............(i)

a - 3b = 0 ..................(ii)

∴ `a/3 = b/2 = c/(-2)`

∴ the direction ratios of the line are 3, 1, -2.