Two Vectors Starting at the Same Origin Have Equal and Opposite

question 42

Essay

Two vectors starting at the same origin have equal and opposite x components. Is it possible for the two vectors to be perpendicular to each other? Justify your answer.

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Definitions:

Laffer Curve

A representation of the relationship between rates of taxation and the resulting levels of government revenue that illustrates there can be an optimum tax rate that maximizes revenue.

Tax Revenues

The income that is collected by governments through taxation.

Progressive Tax

A tax in which the average tax rate rises with income. People with higher incomes will pay a higher percentage of their income in taxes.

Proportional Tax

A tax in which the average tax rate is the same at all income levels. Everyone pays the same percentage of income in taxes.