Concept explainers
(a)
To verify:Whether the given points are the vertices of a parallelogram.
(a)
Answer to Problem 47E
It is verified that the given points are the vertices of a parallelogram.
Explanation of Solution
Given information:
The vertices are
Calculation:
If there are two points in space
The component form is,
Calculate the value of component
Calculate the value of component
Calculate the value of component
Calculate the value of component
From the above calculation
Therefore, it is verified that the given points are the vertices of a parallelogram.
(b)
To find: The area of the parallelogram with the given adjacent sides.
(b)
Answer to Problem 47E
The area of the parallelogram with adjacent sides
Explanation of Solution
Given information:
The adjacent sides of the parallelogram are
Formula used:Let
Calculation:
It is known that AB and CD are the adjacent sides of the parallelogram.
Calculate
The area of the parallelogram can be calculated as:
Therefore, the area of the parallelogram with adjacent sides
Chapter 10 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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