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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
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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I need help with this problem and an explanation for the solution described below. (Calculus 3)

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.
Transcribed Image Text: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.
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