Question

Determine whether a scalar or a vector is described in (a) and (b). Explain your answers. (a) A soccer player runs $15 \mathrm{m}$ from the center of the field. (b) A soccer player runs 15 m from the center of the field toward the opponents' goal.

Name: Problem 5, Chapter 9: Basic Technical Mathematics with Calculus
Uploaded: 2021-06-07T16:43:15-08:00
Duration: 1 min 11 s
Channel: Carson Merrill
Description: Determine whether a scalar or a vector is described in (a) and (b). Explain your answers. (a) A soccer player runs 15 m from the center of the field. (b) A soccer player runs 15 m from the center of the field toward the opponents' goal.

   Determine whether a scalar or a vector is described in (a) and (b). Explain your answers.
(a) A soccer player runs $15 \mathrm{m}$ from the center of the field.
(b) A soccer player runs 15 m from the center of the field toward the opponents' goal.

Basic Technical Mathematics with Calculus

Allyn J. Washington,… 11th Edition

Chapter 9, Problem 5

Instant Answer

Solved by Expert Carson Merrill

06/07/2021

Step 1

Here, we are only given the magnitude of the distance covered, which is 15 meters. However, no specific direction is mentioned. This means that the player could run in any direction from the center of the field. Therefore, this is a scalar quantity. A scalar Show more…

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Determine whether a scalar or a vector is described in (a) and (b). Explain your answers. (a) A soccer player runs $15 \mathrm{m}$ from the center of the field. (b) A soccer player runs 15 m from the center of the field toward the opponents' goal.

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Key Concepts

Scalar Quantity

A scalar quantity is defined by its magnitude alone, without any consideration of direction. Scalars are described by a numerical value and associated units, making them sufficient for measurements where only the size of the quantity is important.

Vector Quantity

A vector quantity has both magnitude and direction. Vectors are essential when the direction in which a quantity acts influences the outcome, such as displacement or force, which require both a value and a specified direction to be fully described.

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