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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.4: Vectors In Three Dimensions
Problem 2E
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning