The three vectors
,
, and
each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,


Then the cross product of these two results is normal to the plane:

Let
be a point on the plane. Then the vector connecting
to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

which reduces to the equation of the plane,

Let
. Then the volume of the region above
and below the plane is

Answer:
-11/12
Step-by-step explanation:
Answer:
B=9 (I'll solve right now, just so you get the answer)
Step-by-step explanation:

Expand right side by distributing

Use the FOIL method to simplify (first, outside, inside, last):


Simplify

Re-insert

Cancel out 

Move all terms to one side

Simplify

Factor out the common term 2

Fill in the slope and that point in y=mx+b
-14=6(-12) + b
-14= -72 + b
b= 58
Y=6x + 58
5.2 is irrational cause the .222 keeps going