Question
Find the equation of the plane containing the lines:
and 
Solution
The equations of lines are
and
The equation of plane containing these two lines is
or
or (x – 4) (20 + 20) – (y – 3) (5 – 5) + (z – 2) (– 4 – 4) = 0
or 40 (x – 4) – 8 (z – 2) = 0 or 5 (x – 4)–(z – 2) = 0
or 5x – 20-z + 2 = 0
or 5x – z – 18 = 0
and
The equation of plane containing these two lines is
or
or (x – 4) (20 + 20) – (y – 3) (5 – 5) + (z – 2) (– 4 – 4) = 0
or 40 (x – 4) – 8 (z – 2) = 0 or 5 (x – 4)–(z – 2) = 0
or 5x – 20-z + 2 = 0
or 5x – z – 18 = 0
