# Show that the lin

We have, (i)

And (ii)

Let P (α ,β ,γ ) is an intersecting point of line (i) and (ii)

(α, β ,γ ) satisfies line (i)

α = 3λ -1 , β = 5λ -3 , γ = 7λ -5

Also (α ,β ,γ ) lies on line (ii)

Now,

9λ -9 = 5λ -7

9λ -5λ = 9 -7

4λ = 2

Also,

25λ -35 = 21λ -33

4λ = 2

Since, the value of λ is same.

both lines intersect each other at P(α ,β ,γ )

point of intersection = P(α ,β ,γ )

= (α = 3λ -1, β = 5λ -3 , γ = 7λ -5)

Thus, point of intersection =

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