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:
e
Step-by-step explanation:
The constant of proportionality is 2/3 bc it lands on 2/3 and 4/6 simplified is 2/3 as well :)
I need help with this too haha I can't find it anywhere
Answer:
- The function is injective but nor surjective
Step-by-step explanation:
<u>We see that:</u>
<u>For any x₁ and x₂ ∈ N, </u>
- f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers
It it confirmed one-to-one, hence it is injective
<u>Check the surjectivity:</u>
f(x) = y ∈ N
<u>Let y = 2, then:</u>
Since x is not natural, the function is not surjective
Answer:
Step-by-step explanation:
first we turn ur mixed number into an improper fraction
1 1/4 = 5/4
the reciprocal of 5/4 can be found by just flipping it....so the reciprocal is gonna be 4/5
so 1 1/4 subtracted from its reciprocal is :
4/5 - 5/4 =
16/20 - 25/20 =
- 9/20 <====
