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The Dot Product
1 Find the Dot Product of Two

question 52

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The Dot Product
1 Find the Dot Product of Two Vectors
- u=10i5j,v=10i+5j,w=3i4j;\mathbf { u } = - 10 \mathbf { i } - 5 \mathbf { j } , \mathbf { v } = - 10 \mathbf { i } + 5 \mathbf { j } , \mathbf { w } = 3 \mathbf { i } - 4 \mathbf { j } ; Find u(v+w) \mathbf { u } \cdot ( \mathbf { v } + \mathbf { w } )


Definitions:

Arrival Rate

The frequency at which entities like people, goods, or events reach a point of processing or observation.

Service Rate

The Service Rate is a measure of the capability of a service system to handle customer demands or transactions within a given time frame, often used in queuing theory.

Poisson Distribution

A statistical distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space when these events happen with a known constant rate and independently of the time since the last event.

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