The Magnitude of Vector V Is Given, Along with the Quadrant

question 48

Multiple Choice

The magnitude of vector v is given, along with the quadrant of the terminal point and the angle it makes with the nearest x-axis. Find the horizontal and vertical components of v and write the results in component form. Round to one decimal place. |v| = 17; $\theta$ = 78°; QIII

• A) v =
• B) v =
• C) v =
• D) v =

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Definitions:

Convex Preferences

Preferences that express a consumer's desire for diversified bundles of goods over extreme bundles, depicted graphically as convex indifference curves.

Edgeworth Box

A diagram representing various distributions of resources, used to examine issues of allocation efficiency in economics.

Indifference Curves

Graphical representations showing combinations of two goods that give a consumer equal levels of satisfaction, indicating preferences.

Pareto Optimal

A condition of resource allocation in which it is impossible to make any one individual better off without making someone else worse off, signifying an efficient distribution of resources.