Two Vectors $\overrightarrow { \mathrm { A } }$ And $\vec { B }$

question 10

Multiple Choice

Two vectors $\overrightarrow { \mathrm { A } }$ and $\vec { B }$ are given by $\overrightarrow { \mathbf { A } } = 4 \hat { \mathbf { i } } + 8 \hat { \mathbf { j } }$ and $\overrightarrow { \mathbf { B } } = 6 \hat { \mathbf { i } } - 2 \hat { \mathbf { j } }$ .The scalar product of $\overrightarrow { \mathrm { A } }$ and a third vector $\overrightarrow { \mathrm { C } }$ is -16.The scalar product of $\vec { B }$ and $\overrightarrow { \mathrm { C } }$ is +18.The z component of $\overrightarrow { \mathrm { C } }$ is 0.What is the magnitude of $\overrightarrow { \mathrm { C } }$ ?

• A)7.8
• B)6.4
• C)3.6
• D)5.0
• E)4.8

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Definitions:

Systems Thinking

A holistic approach to analysis that focuses on the way that a system's constituent parts interrelate and how systems work over time and within the context of larger systems.

Interconnectedness

The state of being connected with each other, especially referring to the links between systems, organizations, or people that influence or interact with one another.

Incrementalism

A strategy of making minor changes or adjustments in order to gradually improve a product, process, or policy.

Resource Utilization

The efficient and effective deployment and allocation of an organization's resources where and when they are needed.