Express the Vector as a Product of Its Length and Direction

question 95

Multiple Choice

Express the vector as a product of its length and direction.
- $- 3 i - \frac { 5 } { 4 } j$

• A) \(\frac { 13 } { 4 } ( - \mathbf { i } - \mathbf { j } )\)
• B) \(\frac { 13 } { 4 } \left( - 3 i - \frac { 5 } { 4 } j \right)\)
• C) \(\frac { 13 } { 4 } \left( - \frac { 12 } { 13 } \mathbf { i } - \frac { 5 } { 13 } \mathbf { j } \right)\)
• D) \(\frac { 169 } { 16 } \left( - 3 \mathrm { i } - \frac { 5 } { 4 } \mathrm { j } \right)\)

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Definitions:

Perfectly Competitive Firm

A company that operates in a market where there are many buyers and sellers, none of which can influence the market price.

Long-Run Equilibrium

A state where all factors of production in an economy are fully adjusted to market conditions, leading to stable prices and full employment of resources.

Profit Maximization

The method a company uses to decide the price and production amount that yields the highest profit.

Economic Profits

The difference between a firm's total revenues and its total costs, including both explicit and implicit costs, representing the excess earnings over the next best alternative.