Provide an Appropriate Response $\mathbf { u }$ And $\mathbf { v }$

question 14

Essay

Provide an appropriate response.
-The unit vectors $\mathbf { u }$ and $\mathbf { v }$ are combined to produce two new vectors $\mathbf { a } = \mathbf { u } + \mathbf { v }$ and $\mathbf { b } = \mathbf { u } - \mathbf { v }$ . Show that $\mathbf { a }$ and $\mathbf { b }$ are orthogonal. Assume $\mathbf { u } \neq \mathbf { v }$ .

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Definitions:

Consolidated Shareholders' Equity

The total equity in a company, combining the equity holdings across all subsidiaries and the parent company.

Surplus (Deficit)

A financial situation where income exceeds expenditures (surplus) or expenditures exceed income (deficit) over a given period.

Unrealized Intercompany Profits

Profits that result from transactions between parent and subsidiary companies that have not yet been realized through sales to external parties.

Equity Method

An accounting technique used by companies to record their investments in other companies, adjusting the investment for the investor's share of the investee's profits or losses.