Solve the Problem $\mathbf { u }$ And $\mathbf { v }$

question 133

Multiple Choice

Solve the problem.
-For the vectors $\mathbf { u }$ and $\mathbf { v }$ with magnitudes $| \mathbf { u } | = 3$ and $| \mathbf { v } | = 6$ , find the angle $\theta$ between $\mathbf { u }$ and $\mathbf { v }$ which makes $\mid$ proju $^ { \mathbf { v } } \mid = 2$

• A) \(70.53 ^ { \circ }\)
• B) \(60.00 ^ { \circ }\)
• C) \(48.19 ^ { \circ }\)
• D) \(41.81 ^ { \circ }\)

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Definitions:

Producing

The process of creating goods or services through the combination of labor, materials, and technology.

Comparative Advantage

The ability of an individual or group to carry out a particular economic activity more efficiently than another activity, compared to another individual or group.

Constant Costs

Expenses that remain unchanged over a certain range of output or scale of operation.

Cost Ratios

Metrics or measures that compare costs to each other or to some base value to assess financial efficiency or performance.