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:
y = 4
Step-by-step explanation:
1) Simplify
to 243.

2) Simplify
to 531441.

3) Simplify
to 129140163.
4) Simplify
to 19683.

5) Simplify
to 6561.

6) Convert both sides to the same base.

7) Cancel the base of 9 on both sides.

Cheers,
ROR
Answer:
none of the two graphs in the pic.
it should be one in the II quadrant
Step-by-step explanation:
the plus four means to move 4 to the left
the plus 2 means to move up 2
That would make the vertex in the II quadrant.
A.)y=2/3x-7 is the answer
Answer:
4 × ( 9 + 2z)
Step-by-step explanation:
36 + 8z = 4 × (9) + 4 × (2z) ; so here 4 is a common factor
= 4 × ( 9 + 2z)
we can also write it like this
36 + 8z = 2 × ( 18 + 4z)