Consider Two Vectors $\vec { v } = - 3 \vec { i } - \vec { j } + 3 \vec { k }$

question 31

Essay

Consider two vectors $\vec { v } = - 3 \vec { i } - \vec { j } + 3 \vec { k }$ and $\vec { w } = a \vec { i } + a \vec { j } - \vec { k }$ .For what values of a are $\vec { v }$ and $\vec { W }$ parallel?

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Definitions:

Commercial Banks

Commercial banks are financial institutions that accept deposits, offer checking account services, and make loans to individuals and businesses.

Horizontal Merger

A business consolidation that occurs between two firms that operate in the same industry, often aimed at increasing market share and reducing competition.

Conglomerate Merger

A type of merger where two companies that operate in entirely different industries combine resources or operations.

Not-for-profit Organizations

entities that operate for purposes other than making a profit, often focusing on social, educational, humanitarian, or cultural objectives.