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Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 57 - 7j + 2k

Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 57 - 7j + 2k

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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Plz help with question 7 a) and b)
Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 5ỉ - 7j + 2k 8. Determine the value of k which satisfies each of the following con a) [-5, k, 3] and [1, 2, -7] are orthogonal. b) The angle between [6, k, -1] and [3, 4, -2] is 60°. c) The magnitude of [2, k, -7] is 8. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4]. 19. à = [-1, 5,2], b = [3, 2,-6], and è = [1, -4,-2]. Calculate the followi a) axb b) a. bxc c) la- b² + 2ab-b² 11. R(1,1,3), S(3,-3,6) and U(-2,4,7) are three vertices of parallelogran a) Find the coordinates of T. b) Find all interior angles of the parallelogram. c) Find the area of the parallelogram. KL2792
Transcribed Image Text:Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 5ỉ - 7j + 2k 8. Determine the value of k which satisfies each of the following con a) [-5, k, 3] and [1, 2, -7] are orthogonal. b) The angle between [6, k, -1] and [3, 4, -2] is 60°. c) The magnitude of [2, k, -7] is 8. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4]. 19. à = [-1, 5,2], b = [3, 2,-6], and è = [1, -4,-2]. Calculate the followi a) axb b) a. bxc c) la- b² + 2ab-b² 11. R(1,1,3), S(3,-3,6) and U(-2,4,7) are three vertices of parallelogran a) Find the coordinates of T. b) Find all interior angles of the parallelogram. c) Find the area of the parallelogram. KL2792
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