Physics for Scientists and Engineers With Modern Physics
Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 3, Problem 1OQ

What is the magnitude of the vector ( 10 i ^  - 10 k ^ ) m/s? (a) 0 (b) 10 m/s (c) −10 m/s (d) 10 (e) 14.1 m/s

Expert Solution & Answer
Check Mark
To determine

The magnitude of the vector (10i^-10k^)m/s.

Answer to Problem 1OQ

The magnitude of the vector (10i^-10k^)m/s is 14.1m/s.

Explanation of Solution

Write the formula for the magnitude of a vector.

    v=vx2+vy2

Here, v is the velocity, vx is the x-component of the velocity, vy is the y-component of the velocity.

Conclusion:

Substitute 10m/s for vx, 10m/s for vy to determine the magnitude of the vector.

    v=(10m/s)2+(10m/s)2=14.1m/s

The magnitude of the vector (10i^-10k^)m/s is 14.1m/s.

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Chapter 3 Solutions

Physics for Scientists and Engineers With Modern Physics

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