Question

True or False. Work is a physical example of a vector.

   True or False. Work is a physical example of a vector.

Algebra and Trigonometry

Algebra and Trigonometry

Michael Sullivan 10th Edition

Chapter 10, Problem 6

Instant Answer

Solved by Expert Jodi Folley

06/18/2020

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A vector is a quantity that has both magnitude and direction. Examples of vectors include force, velocity, and acceleration. Show more…

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True or False. Work is a physical example of a vector.

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Key Concepts

Work

Work is a physical quantity defined as the product of the force applied to an object and the displacement of the object in the direction of the force. It is calculated as the dot product of the force and displacement vectors, which inherently makes it a scalar quantity because the dot product results in a single numerical value regardless of the coordinate system used.

Scalar Quantity

A scalar quantity is a physical quantity that is fully described by a magnitude alone, without any direction in space. Scalars include measures like temperature, mass, energy, and work, as they do not involve directional components, distinguishing them from vector quantities.

Vector Quantity

A vector quantity is one that is described by both a magnitude and a direction. Examples include displacement, velocity, and force. The directional component of vectors is critical in many physical analyses, but in the case of work, even though force and displacement are vectors, their dot product yields a scalar.

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