To find: The explain the vector and its role in vector addition.
The zero vector acts as an additive identity in
Given information:
Given, when any vector is subtracted from itself, the result is still a vector but a unique one.
Calculation:
Consider a vector
Subtracting the vector from itself:
This vector is known as the zero vector. It is unique since every vector has a magnitude and direction. But the zero vector has a magnitude of 0 and the direction is undefined.
The zero vector acts as an additive identity in vectors because adding zero vector to any vector results in the same vector.
Conclusion:
The zero vector acts as an additive identity in vectors because adding zero vector to any vector results in the same vector.
Chapter 12 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education