Find the angle.
Answer to Problem 28CLT
Explanation of Solution
Given information:
A plastic wastebasket has the shape and dimensions shown in the figure. In fabricating a mold for making the wastebasket, it is necessary to know the angle between two adjacent sides. Find the angle.
Calculation:
Consider the given figure,
Now from the figure tabulate the coordinates of vertices.
Now calculate normal
Normal vector of side
For the two position vector,
The vector joining term is,
Diagonal vector joining
Diagonal vector joining
Now find cross product of diagonal vectors.
Now,
Hence normal vector of side
Normal vector of side
Diagonal vector joining
Diagonal vector joining
Now cross product of diagonal vectors.
Hence normal vector of side
Now calculate angle between two vectors by standard formula.
Angle between two vectors
Hence angle between two adjacent sides is
Chapter 12 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