Use the Dot Product to Find the Magnitude of U $\mathbf { u } = - 3 \mathbf { i } + 6 \mathbf { j }$

question 9

Multiple Choice

Use the dot product to find the magnitude of u if $\mathbf { u } = - 3 \mathbf { i } + 6 \mathbf { j }$

• A) \(\| \mathbf { u } \| = 18\)
• B) \(\| \mathbf { u } \| =\) \(6 \sqrt { 5 }\)
• C) \(\| \mathbf { u } \| = 18\)
• D)​ \(\| \mathbf { u } \| =\) \(3 \sqrt { 5 }\)
• E) \(\| \mathbf { u } \| = 23\)

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Definitions:

Sensitivity Report

In optimization and linear programming, a report that describes how the solution changes in response to variations in the parameters of the model.

Adjustable Cells

Cells in a spreadsheet or table whose size, dimension, or content can be changed or manipulated by the user.

Target Cells

In a biological context, these are specific cells that are affected by hormones, drugs, or other signaling molecules, characterized by the presence of receptors specific to the molecules they interact with.

Constraint

A limitation or condition that must be satisfied by a system, process, or variable, often used in optimization and database management.