Unit Vectors: Vector = -1

question 20

Multiple Choice

Unit vectors: Vector = -1.00 + -2.00 and vector = 3.00 + 4.00 What are the magnitude and direction of vector = 3.00 + 2.00 ?

• A) 3.61 in a direction -56.3° counterclockwise from the positive x-axis
• B) 3.61 in a direction 56.3° counterclockwise from the positive x-axis
• C) 3.61 in a direction 33.7° counterclockwise from the positive x-axis
• D) 5.00 in a direction 56.3° counterclockwise from the positive x axis
• E) 6.72 in a direction 34.4° counterclockwise from the positive x-axis

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Definitions:

Cyclopentanone

A five-membered cyclic ketone, characterized by a ring structure containing one ketone group, used as a precursor in the synthesis of fragrances and pharmaceuticals.

Hydrate

A compound typically formed by the absorption of water molecules into its structure, often resulting in a crystalline form.

PhCOCl

PhCOCl refers to benzoyl chloride, a colorless, fuming liquid with a pungent smell, used in organic synthesis, represented by the formula C6H5COCl.

Carbonyl Group

A functional group consisting of a carbon atom double-bonded to an oxygen atom (C=O) found in aldehydes, ketones, carboxylic acids, and esters.