Determine $\text { u v }$ If $\| \mathbf { u } \| = 5$

question 235

Multiple Choice

Determine $\text { u v }$ if $\| \mathbf { u } \| = 5$ , $\| \mathbf { v } \| = 4$ , and $\theta = \frac { \pi } { 4 }$ where $\theta$ is the angle between u and v.Round answer to two decimal places.

• A)15.73
• B)12.07
• C)10.00
• D)17.32
• E)14.14

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Definitions:

Cyclopentanone

A cyclic ketone with a five-membered ring, known for its distinctive odor and use in organic synthesis.

1,2-Epoxy-1-Methylcyclopentane

1,2-Epoxy-1-Methylcyclopentane is an epoxy compound featuring a cyclopentane ring with a methyl group substitution and an epoxide functional group.

Trans-1,2-Cyclopentanediol

A compound featuring a cyclopentane ring with hydroxyl groups at the 1 and 2 positions on opposite sides, denoting its trans configuration.

Cyclopentene

A cyclic alkene with a five-membered ring, used in the synthesis of more complex organic compounds.