Show that t

we know that line and are coplanar if

And equation of the plane containing them is

Here, equation of lines are

and

So, x₁ = – 1, y₁ = 3, z₁ = – 2, l₁ = – 3, m₁ = 2, n₁ = 1

x₂ = 0, y₂ = 7, z₂ = – 7, l₂ = 1, m₂ = – 3, n₂ = 2

so,

= 1(4 + 3) – 4(– 6 – 1) – 5(9 – 2)

= 7 + 28 – 35

= 0

So, lines are coplanar

Equation of plane containing line is

(x + 1)(4 + 3) – (y – 3)(– 6 – 1) + (z + 2)(9 – 2) = 0

7x + 7 + 7y – 21 + 7z + 14 = 0

7x + 7y + 7z = 0

X + y + z = 0