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area of the triangle with the vertices (1, 0, 3), (5, 0,-1), and (0, 2, –2). 41. Unit normal vector Find unit vectors normal to the vectors (2, –6, 9) and (-1, 0, 6). 42. Angle in two ways Find the angle between (2, 0, –2) and (2, 2. O using (a) the dot

area of the triangle with the vertices (1, 0, 3), (5, 0,-1), and (0, 2, –2). 41. Unit normal vector Find unit vectors normal to the vectors (2, –6, 9) and (-1, 0, 6). 42. Angle in two ways Find the angle between (2, 0, –2) and (2, 2. O using (a) the dot

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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30 Weight= (0, -180) 37. Find the component of his weight in the downward direction perpendicular to the hillside and in the downward direction parallel to the hillside. 38. How much work is done when the man moves 10 ft up the hillside? 39. Area of a parallelogram Find the area of the parallelogram with the vertices (1, 2, 3), (1, 0, 6), and (4, 2, 4). 40. Area of a triangle Find the area of the triangle with the 3), (5, 0,-1), and (0, 2, –2). 41. Unit normal vector Find unit vectors normal to the vectors (2, –6, 9) and (-1, 0, 6). 42. Angle in two ways Find the angle between (2, 0, –2) and (2, 2, 0) using (a) the dot product and (b) the cross product. ertices (1, 0, 43. Let r = OP= 3i + 2j + k. A force F (10, 10, 0) is applied at P. Find the torque about O that is produced. 44. Suppose you apply a force of |F| = 50 N near the end of a wrench attached to a bolt (see figure). Determine the magnitude of the torque when the force is applied at an angle of 60° to the wrench. Assume the distance along the wrench from the center of the bolt to the point where the force is applied is r = 0.25 m. 60° F Knee torque Jan does leg lifts with a 10kau foot no th
Transcribed Image Text:30 Weight= (0, -180) 37. Find the component of his weight in the downward direction perpendicular to the hillside and in the downward direction parallel to the hillside. 38. How much work is done when the man moves 10 ft up the hillside? 39. Area of a parallelogram Find the area of the parallelogram with the vertices (1, 2, 3), (1, 0, 6), and (4, 2, 4). 40. Area of a triangle Find the area of the triangle with the 3), (5, 0,-1), and (0, 2, –2). 41. Unit normal vector Find unit vectors normal to the vectors (2, –6, 9) and (-1, 0, 6). 42. Angle in two ways Find the angle between (2, 0, –2) and (2, 2, 0) using (a) the dot product and (b) the cross product. ertices (1, 0, 43. Let r = OP= 3i + 2j + k. A force F (10, 10, 0) is applied at P. Find the torque about O that is produced. 44. Suppose you apply a force of |F| = 50 N near the end of a wrench attached to a bolt (see figure). Determine the magnitude of the torque when the force is applied at an angle of 60° to the wrench. Assume the distance along the wrench from the center of the bolt to the point where the force is applied is r = 0.25 m. 60° F Knee torque Jan does leg lifts with a 10kau foot no th
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