Difference between dot and cross product
1 answer:
If you have two vectors A and B,
Dot product is a scalar quantity dealing with how much of one vector is in the same direction as the other vector, or the projection of one onto the other. You can see that from the cosine part of this form-
![A~*~B = [A][B]cos(\theta)](https://tex.z-dn.net/?f=A~%2A~B%20%3D%20%5BA%5D%5BB%5Dcos%28%5Ctheta%29)
The cross product is a vector perpendicular to both A and B. It deals with how much of one vector is perpendicular to the other vector. You can see that in the sine part of this form -
![A ~x ~B= [A][B]sin(\theta)](https://tex.z-dn.net/?f=A%20~x%20~B%3D%20%5BA%5D%5BB%5Dsin%28%5Ctheta%29)
Dot product is a scalar quantity dealing with how much of one vector is in the same direction as the other vector, or the projection of one onto the other. You can see that from the cosine part of this form-
The cross product is a vector perpendicular to both A and B. It deals with how much of one vector is perpendicular to the other vector. You can see that in the sine part of this form -
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Answer:
32.33% probability of having at least 3 erros in an hour.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
The mean number of errors is 2 per hour.
This means that
(a) What is the probability of having at least 3 errors in an hour?
Either you have 2 or less errors in an hour, or we have at least 3 errors. The sum of the probabilities of these events is decimal 1. So
We want
So
In which
32.33% probability of having at least 3 erros in an hour.