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:
40/289
Step-by-step explanation:
We can see these two events are independent as Regina replaced marble after drawing one marble.
We can find possible outcomes by adding number of blue, red and yellow marbles.
possible outcomes= 4+3+10= 17
Let us find probability of getting a blue marble on first draw.
Now we will find probability of getting red marble.
We can find probability of getting a blue marble and then red marble by multiplying both probabilities.
Find the cosine ratio of angle ΘΘ. Hint: Use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no spaces. (4 points)
Cosine=adjacent/hypotenuse
adjacent=8
Hypotenuse =17
cosΘ=8/17
2 greens
1 black 1 green
2 blacks
Hope this helps ;p have a nice day!
~pam
This is what I got for it if it helps
