# If the lines<span

Given equations are –

L1:

It can also be represented in vector form.

L1:

And L2:

It can also be represented in vector form.

L2:

For lines to be perpendicular, the dot product of their direction vectors must be zero.

-3k – 2k + 10 = 0

-5k = -10

k = 2

equation of line can be rewritten as –

L1:

And L2:

Equation of plane containing the lines is given by -

= 0

(x – 1) (-20 – 2) – (y – 2) (-15 – 4) + (z – 3) (-3 + 8) = 0

-22x + 19y + 5z = 31

Required equation of the plane is: -22x + 19y + 5z = 31

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