Find the Angle Between the Vectors U and V $\mathbf { u } = \cos \left( \frac { \pi } { 3 } \right) \mathbf { i } + \sin \left( \frac { \pi } { 3 } \right) \mathbf { j }$

question 29

Multiple Choice

Find the angle between the vectors u and v. $\mathbf { u } = \cos \left( \frac { \pi } { 3 } \right) \mathbf { i } + \sin \left( \frac { \pi } { 3 } \right) \mathbf { j }$ , $v = \cos \left( \frac { 3 \pi } { 4 } \right) i + \sin \left( \frac { 3 \pi } { 4 } \right) j$ ​

• A) \(40 ^ { \circ }\)
• B) \(15 ^ { \circ }\)
• C) \(75 ^ { \circ }\)
• D) \(105 ^ { \circ }\)
• E) \(70 ^ { \circ }\)

---

Definitions:

Pollution Permits

are allowances given to companies that limit the amount of pollution they are authorized to emit, which can be bought, sold, or traded, hence providing an economic incentive to reduce pollution.

Marginal Benefits

The additional satisfaction or utility a consumer receives from consuming an additional unit of a good or service.

Pollution Emissions

The release of pollutants into the environment, often as a byproduct of industrial operations, transportation, and other human activities, contributing to environmental degradation.

External Costs

Costs that are not borne by the parties involved in an economic transaction but are instead imposed on others or society.