If $\vec { w } = 2 \vec { i } + 5 \vec { j } + \alpha \vec { k }$

question 3

Essay

If $\vec { w } = 2 \vec { i } + 5 \vec { j } + \alpha \vec { k }$ find a value of a such that $\| \vec { w } \| = 30$ .

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Definitions:

Additional Coffee

An increment in the quantity of coffee, considered as an example of a product or commodity in economic studies.

Marginal Utility

The additional joy or advantage obtained from using one more unit of a good or service.

Diminishing

A principle that refers to a decrease or reduction in the effectiveness, value, or quantity of something over time or under certain conditions.

Additional Unit

An incremental quantity of a product or service, typically considered in the context of production or consumption.