Freeflows
Plane Equation Finding 1
Let line $ L $ be the intersection of the planes $ x + y + z - 6 = 0 $ and $ 2x + 3y + 4z + 5 = 0 $. Find the equation of the plane containing line $ L $ and the point $ (1,1,1) $. Enter your answer in the form \[Ax + By + Cz + D = 0,\]where $ A, $ $ B, $ $ C, $ $ D $ are integers such that $ A > 0 $ and $ \gcd(|A|,|B|,|C|,|D|) = 1 $.
- 1
- 2
- 3
- +
- 4
- 5
- 6
- -
- 7
- 8
- 9
- $\frac{a}{b}$
- .
- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$