Homework Help is Here – Start Your Trial Now!
Math
Algebra
22. The line 3. is parallel to the line 2. x+3 A. 3 y+1 z-1 %3D 3 B. f = î - i+ 5k + t(3î + 3j + 2k) C. f= -î - 2j + 4k + t(-3î + 3j - 2k) D. f = 3k + t(3î + 6j – 4k) 3i - 8k 3. li

22. The line 3. is parallel to the line 2. x+3 A. 3 y+1 z-1 %3D 3 B. f = î - i+ 5k + t(3î + 3j + 2k) C. f= -î - 2j + 4k + t(-3î + 3j - 2k) D. f = 3k + t(3î + 6j – 4k) 3i - 8k 3. li

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question

Solve all Q22, 23, 24 explaining detailly each step

16. A vector perpendicular to both 2î + 2ĵ – k and -î + 2k is: A. 3î + 4ĵ – 2k B. 3î – 4ĵ – 2k C. 2î + 3ĵ – 3k D. 4î + 3j 17. The parametric vector equations of two lines L1 and L2 are shown below L¡: r= 4i+j – 2k + s(-4i – 2j – 2k) and L2: r2 = 2i + 3j + 3k + t(2i + j + k). Lines L and L2 A. Intersect %3D B. are parallel C. are perpendicular D. are in the same plane 18. A vector equation of a line through the points (2, 2, -1) and (0, -1, 2) A. f = 2î + 2ĵ – k + t(2î – 3ĵ + 3k) B. î = 2î + 2ĵ – k+t(-ĵ+ 2k) C. f = -ĵ + 2k + t(2î+ 2ĵ – k) D. f = -j + 2k + t(-2î – 3ĵ + 3k) 19. The Cartesian equations ofa line which passes through the point (2, -1, -3) and is parallel to the vector 3î +ĵ – k are: | X-3 y-1 z+1 X-2 В. 3 y+1 Z-3 --1 -3 -1 - 1 X+2 C. 3 y-1 Z-3 X-2 y+1 z+3 D. --- 1 -1 3 - 1 and = = X-1 у+2 Z-3 2х-1 у-1 2z+1 20. The cosine of the angle between the lines 1s: %3D 1 3 2 3 3 -4 A. V42 -3 B. 21 19 C.- 7V14 19 D. 14V14 21. A vector equation of line through the point with vector 3î- j and perpendicular to the line f = 3ĵ + A(î – 3j) is: A. Î = î – 3ĵ + H(31- i) C. Î = 3î – ĵ + µ(3î + j) D. Î = 3î – î + µ(3î + j) B. f = 3î - j +, u(3î - ) %3D 2x+1 y+2 4-z . 22. The line is parallel to the line 3 2. Z-1 x-+3 Á. 3 y+1 3 2 B. f = î – ĵ + 5k + t(3î + 3ĵ + 2k) C. f = -î – 2î + 4k + t(-3î + 3ĵ - 2k) D. f = 3k + t(3î + 6ĵ – 4k) 23. The Cartesian equation of the plane containing the point i + 3j – 8k and perpendicular to th line; 7 = 3i + 7j – 2k + a(5i –j- 4k) is %3D A. 5x - y + 4z = 34 B. 5x – y - 4z = 34 D. 5x + y + 4z = 34 24. The vector equation of the plane containing the point with position vector î - 3k and normal C. 5x + y - 4z = 34 to the vector î + 2ĵ + k is: A. f(î – 3k) = -2 C. î = î – 3ĵ + A(î + 2ĵ + k) D. î = î + 2j + k + A(î – 3k) 25. A plane passes through the point (1, 2, 3) and is perpendicular to a straight line in the direction of the vector 2i + 3i – 5k. A Cartesian equation of the plane is B. f(î + 2î + k) = -2 %3D A. 2x + 3y - 5z - 7 = 0 B. 2x + 3y + 5z + 7 = 0 %3D 69 ||
Transcribed Image Text:16. A vector perpendicular to both 2î + 2ĵ – k and -î + 2k is: A. 3î + 4ĵ – 2k B. 3î – 4ĵ – 2k C. 2î + 3ĵ – 3k D. 4î + 3j 17. The parametric vector equations of two lines L1 and L2 are shown below L¡: r= 4i+j – 2k + s(-4i – 2j – 2k) and L2: r2 = 2i + 3j + 3k + t(2i + j + k). Lines L and L2 A. Intersect %3D B. are parallel C. are perpendicular D. are in the same plane 18. A vector equation of a line through the points (2, 2, -1) and (0, -1, 2) A. f = 2î + 2ĵ – k + t(2î – 3ĵ + 3k) B. î = 2î + 2ĵ – k+t(-ĵ+ 2k) C. f = -ĵ + 2k + t(2î+ 2ĵ – k) D. f = -j + 2k + t(-2î – 3ĵ + 3k) 19. The Cartesian equations ofa line which passes through the point (2, -1, -3) and is parallel to the vector 3î +ĵ – k are: | X-3 y-1 z+1 X-2 В. 3 y+1 Z-3 --1 -3 -1 - 1 X+2 C. 3 y-1 Z-3 X-2 y+1 z+3 D. --- 1 -1 3 - 1 and = = X-1 у+2 Z-3 2х-1 у-1 2z+1 20. The cosine of the angle between the lines 1s: %3D 1 3 2 3 3 -4 A. V42 -3 B. 21 19 C.- 7V14 19 D. 14V14 21. A vector equation of line through the point with vector 3î- j and perpendicular to the line f = 3ĵ + A(î – 3j) is: A. Î = î – 3ĵ + H(31- i) C. Î = 3î – ĵ + µ(3î + j) D. Î = 3î – î + µ(3î + j) B. f = 3î - j +, u(3î - ) %3D 2x+1 y+2 4-z . 22. The line is parallel to the line 3 2. Z-1 x-+3 Á. 3 y+1 3 2 B. f = î – ĵ + 5k + t(3î + 3ĵ + 2k) C. f = -î – 2î + 4k + t(-3î + 3ĵ - 2k) D. f = 3k + t(3î + 6ĵ – 4k) 23. The Cartesian equation of the plane containing the point i + 3j – 8k and perpendicular to th line; 7 = 3i + 7j – 2k + a(5i –j- 4k) is %3D A. 5x - y + 4z = 34 B. 5x – y - 4z = 34 D. 5x + y + 4z = 34 24. The vector equation of the plane containing the point with position vector î - 3k and normal C. 5x + y - 4z = 34 to the vector î + 2ĵ + k is: A. f(î – 3k) = -2 C. î = î – 3ĵ + A(î + 2ĵ + k) D. î = î + 2j + k + A(î – 3k) 25. A plane passes through the point (1, 2, 3) and is perpendicular to a straight line in the direction of the vector 2i + 3i – 5k. A Cartesian equation of the plane is B. f(î + 2î + k) = -2 %3D A. 2x + 3y - 5z - 7 = 0 B. 2x + 3y + 5z + 7 = 0 %3D 69 ||
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS