Concept explainers
The area of the parallelogram that has
Answer to Problem 44E
The area of parallelogram is
Explanation of Solution
Given information:
The value of the vectors in component form
Formula used:
If a and b are two vectors that represents two adjacent sides of the parallelogram, where
Let
If there are two three-dimensional vectors in a space given in the form of their components, say,
Calculation:
Consider the given value of the vectors
Recall that if there are two three-dimensional vectors in a space given in the form of their components, say,
Apply it,
So, the cross product of u and v vectors will be calculated as,
Recall that if a and b are two vectors that represents two adjacent sides of the parallelogram, where
Let
So, area of parallelogram with its adjacent sides as
Hence, the area of parallelogram is
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
- 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