Verify that the sum of
Answer to Problem 75E
As, all the sides of hexagon are equal and opposite to each other.
Explanation of Solution
Given information:
Figure shows vectors that form a hexagon.
Calculation:
Here, we will take a following hexagon:
Now, in the given hexagon we have six vectors with the same magnitude:
Now, here we have observed that the direction of the vector
Therefore,
Now, similarly,
We will write the sum of the given hexagon as:
Hence, the sum of all the sic vectors is zero. This is because all the sides of hexagon are equal and opposite to each other so they will cancel out each other.
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning