Determine the Values Of $c$ Such That $\| c \mathbf { u } \| = 2$

question 33

Multiple Choice

Determine the values of $c$ such that $\| c \mathbf { u } \| = 2$ , where $\mathbf { u } = 3 \mathbf { i } - 4 \mathbf { j } + 2 \mathbf { k }$ .

• A) \(c = \pm 2\)
• B) \(\quad c = \pm \frac { 2 \sqrt { 29 } } { 29 }\)
• C) \(c = \pm \frac { \sqrt { 29 } } { 2 }\)
• D) \(c = \pm \frac { 1 } { 2 }\)
• E) \(c = \pm \frac { \sqrt { 29 } } { 29 }\)

Understand different forms of reasoning (deductive, inductive, heuristic) and its impacts on problem solving and theoretical development.

Recognize how cognitive processes such as problem solving and decision-making work.

Grasp the process of hypothesis testing and the formulation of propositions.

Understand how mental representations, such as concepts and propositions, influence our perception and categorization of the world.

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Definitions:

Time Value

The idea that having money presently is more valuable than possessing an identical sum later on because of its capacity to generate earnings.

Systematic Risk

The risk inherent to the entire market or market segment, also known as market risk, which cannot be mitigated through diversification.

Diversification

The process of allocating investments among various financial assets to reduce risk and improve potential returns.

Diversifiable Risk

A risk that can be reduced or mitigated through the diversification of investments in a portfolio.