Find the Angle Between the Given Vectors to the Nearest

question 22

Multiple Choice

Find the angle between the given vectors to the nearest tenth of a degree.
- $$\mathbf { u } = \left( 3 \cos \frac { \pi } { 6 } \right) \mathbf { i } + \left( 3 \sin \frac { \pi } { 6 } \right) \mathbf { j } , \mathbf { v } = \left( \cos \frac { 4 \pi } { 3 } \right) \mathbf { i } + \left( \sin \frac { 4 \pi } { 3 } \right) \mathbf { j }$$

• A) \(210 ^ { \circ }\)
• B) \(150 ^ { \circ }\)
• C) \(240 ^ { \circ }\)
• D) \(120 ^ { \circ }\)

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Definitions:

One-story House

A residential structure featuring all of its living spaces on a single level, without any stairs leading to additional floors.

Not (p And Q)

A logical operation that negates the conjunction of two propositions; true only when either P is false, Q is false, or both are false.

Compound Proposition

A statement formed by combining two or more propositions with a logical operator, such as "and," "or," or "not."

Contrapositions

Logical relationships between statements where the antecedent of one is the negation of the consequent of the other, and vice versa.