10. Find the volume of the parallelepiped whose sides are given by the vectors (2,1,0), (0,2,1), (0, -1,2). 11. Find the projection of (1, -1, 3) onto the vector (3,4,-2). 12. Find a vector orthogonal to (4,0,2). 13. Find the work done by the force Ễ = 8î − 6ĵ + 9k that moves an object from the point (0,10,8) to (6,12,20) along a straight line if the distance is measured in meters and force in newtons.
10. Find the volume of the parallelepiped whose sides are given by the vectors (2,1,0), (0,2,1), (0, -1,2). 11. Find the projection of (1, -1, 3) onto the vector (3,4,-2). 12. Find a vector orthogonal to (4,0,2). 13. Find the work done by the force Ễ = 8î − 6ĵ + 9k that moves an object from the point (0,10,8) to (6,12,20) along a straight line if the distance is measured in meters and force in newtons.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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