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5. Let v = (2, 1, -4) and w = (3, -3, 1). Find vectors a and b such that v = a + b where a is parallel to w and b is perpendicular to w. 6. Let u = (1, 2, -3) and v = (4,0, -2). Compute u x v. 7. Let u = (2, 4, –4) and v = (1, –3, 1). Compute u x v. 8. Using the fact that u x v = (1, 1, 0), compute (u – 2v) × (u + v). %3D

5. Let v = (2, 1, -4) and w = (3, -3, 1). Find vectors a and b such that v = a + b where a is parallel to w and b is perpendicular to w. 6. Let u = (1, 2, -3) and v = (4,0, -2). Compute u x v. 7. Let u = (2, 4, –4) and v = (1, –3, 1). Compute u x v. 8. Using the fact that u x v = (1, 1, 0), compute (u – 2v) × (u + v). %3D

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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5. Let v = (2, 1, –4) and w = (3, –3, 1). Find vectors a and b such that v = a + b where a is parallel to w and b is perpendicular to w. 6. Let u = (1, 2, –3) and v = (4,0, –2). Compute u x v. - 7. Let u = (2, 4, –4) and v = (1, —3, 1). Сompute u x v. 8. Using the fact that u x v = (1, 1,0), compute (u – 2v) x (u + v).
Transcribed Image Text:5. Let v = (2, 1, –4) and w = (3, –3, 1). Find vectors a and b such that v = a + b where a is parallel to w and b is perpendicular to w. 6. Let u = (1, 2, –3) and v = (4,0, –2). Compute u x v. - 7. Let u = (2, 4, –4) and v = (1, —3, 1). Сompute u x v. 8. Using the fact that u x v = (1, 1,0), compute (u – 2v) x (u + v).
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