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:
671,088,640.
Step-by-step explanation:
To determine the 14th term of the geometric sequence that begins with 10, 40 and 160, knowing that each number is multiplied by 4, the following calculation must be performed, taking into account that the initial number (10) is multiplied by 4, and that said number must be potentiated 13 times to obtain the 14th term:
10 x (4 ^ 13) = X
10 x 67,108,864 = X
671,088,640 = X
Therefore, the 14th term of the geometric sequence will be 671,088,640.
Lne equals 1 because they cancel each other out. e is the base of ln.
For example: log has a base of 10, log10 = 1
13/20,3/5,29/50,14/25,53/100
X+y=11
22x+15y=228
y=11-x
22x+15y=228
22x+15(11-x)=228
22x+165-15x=228
7x+165=228
7x=63
x=9
9+y=11
y=2
The solution to the system of equations is (9,2)
