Given Vectors $\mathbf { u } = \langle - 1 , - 2 \rangle$

question 93

Multiple Choice

Given vectors $\mathbf { u } = \langle - 1 , - 2 \rangle$ and $\mathbf { v } = \langle 3,5 \rangle$ determine the quantity indicated below. $( 4 \mathbf { u } \cdot 2 \mathbf { v } ) \mathbf { u }$

• A) \(\langle 32,64 \rangle\)
• B) \(\langle 104,208 \rangle\)
• C) \(\langle - 8 , - 16 \rangle\)
• D) \(\langle 8,16 \rangle\)
• E) \(\langle - 64 , - 128 \rangle\)

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Definitions:

Exponential Service

A distribution model describing the time between events in a Poisson process, often used in queuing theory to model times between services.

Poisson Arrival

Describes a process where events occur randomly and independently of one another at a constant average rate, often used in queueing theory.

Waiting Line System

A methodical process used to manage the queue of entities waiting to receive services, optimizing both service and waiting times.

Available Teller

Refers to a bank employee who is present and able to assist customers with transactions and inquiries.