Find the Unit Vector Having the Same Direction as V $$v = - 3 i + 4 j$$

question 152

Multiple Choice

Find the unit vector having the same direction as v.
- $$v = - 3 i + 4 j$$

• A) \(u = - \frac { 5 } { 3 } i + \frac { 5 } { 4 } j\)
• B) \(\mathbf { u } = - \frac { 4 } { 5 } \mathrm { i } + \frac { 3 } { 5 } \mathrm { j }\)
• C) \(\mathbf { u } = - \frac { 3 } { 5 } \mathrm { i } + \frac { 4 } { 5 } \mathrm { j }\)
• D) \(\mathbf { u } = - 15 \mathbf { i } + 20 \mathbf { j }\)

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Definitions:

Economic Profit

Profit calculated by subtracting both explicit and implicit costs from total revenues, capturing the true profitability of a venture.

Market Price

The current value at which an asset or service can be bought or sold in a competitive marketplace.

Units

Basic measurements or quantities adopted as standards to express amounts, dimensions, or capacities for various elements or substances in specific contexts.

Marginal Cost

The price rise from the production of an additional unit of a product or service.