Answer:
a) (0, -33, 12)
b) area of the triangle : 17.55 units of area
Explanation:
<h2>
a) </h2>
We know that the cross product of linearly independent vectors 
and 
gives us a nonzero, orthogonal to both, vector. So, if we can find two linearly independent vectors on the plane through the points P, Q, and R, we can use the cross product to obtain the answer to point a.
Luckily for us, we know that vectors 
and 
are living in the plane through the points P, Q, and R, and are linearly independent.
We know that they are linearly independent, cause to have one, and only one, plane through points P Q and R, this points must be linearly independent (as the dimension of a plane subspace is 3).
If they weren't linearly independent, we will obtain vector zero as the result of the cross product.
So, for our problem:
<h2>B)</h2>
We know that and are two sides of the triangle, and we also know that we can use the magnitude of the cross product to find the area of the triangle:
so:
In a food pyramid, the organism that has the least amount of total energy available is the one that is in the bottom or last. In this case, given the list of organisms above, the organism that would have the least amount of total energy available would be the RED FOX. The answer is option A. Hope this answer helps.
Answer:
An airplane flying
Explanation:
Both a bird and airplane fly, but the airplane is using more mechanical energy to run and power the plane, causing it to fly.
A set of data has a mean of 12 and a standard deviation of 3. A data point of the set has a z-score of 1.3. What does a z-score of 1.3 mean?
The data point is 1.3 standard deviations away from 3
The data point is 1.3 standard deviations away from 12.
The data point is 3 standard deviations away from 1.3.
The data point is 3 standard deviations away from 12.
its B
