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If the vectors u = 21+ 3j+k, v=i-2j+2k, and w=3i+aj + 3k lie on the same plane, find the value of a. -5 1 -3 (D) 3

If the vectors u = 21+ 3j+k, v=i-2j+2k, and w=3i+aj + 3k lie on the same plane, find the value of a. -5 1 -3 (D) 3

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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If the vectors u = 21 + 3j+ k, v = 1-2j+2k, and w=31+ aj + 3k lie on the same plane, find the value of a. A -5 B 1 A plane passes through the points A(-1, 3, 1), B(1, 2, 3), and C(-1,-1, p). If n A=-11 (where A is the position vector of the point A and n is a normal vector to the plane), determine the value of p. -3 0 1 Ⓒ 3 D4
Transcribed Image Text:If the vectors u = 21 + 3j+ k, v = 1-2j+2k, and w=31+ aj + 3k lie on the same plane, find the value of a. A -5 B 1 A plane passes through the points A(-1, 3, 1), B(1, 2, 3), and C(-1,-1, p). If n A=-11 (where A is the position vector of the point A and n is a normal vector to the plane), determine the value of p. -3 0 1 Ⓒ 3 D4
Which of the following represents the definite integral of the vector-valued function [[(51² + B + 4t)i + (7t+3)j ]dt 125 -i + 50 29 2 2¹ © 27+12 + 82 61 2² +2¹ (A) 2.3 s 41 An object is launched at an initial speed of 35 m/s at an angle of 40° above the horizontal. What is the total flight time of the object? B) 4.6 s Ⓒ 5.5 s 9.6 S
Transcribed Image Text:Which of the following represents the definite integral of the vector-valued function [[(51² + B + 4t)i + (7t+3)j ]dt 125 -i + 50 29 2 2¹ © 27+12 + 82 61 2² +2¹ (A) 2.3 s 41 An object is launched at an initial speed of 35 m/s at an angle of 40° above the horizontal. What is the total flight time of the object? B) 4.6 s Ⓒ 5.5 s 9.6 S
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