Let u = (2, −3, 4) and v = (-1, 0, 5) be two vectors in R³. 1) Find 4u + v. 2) Find u- v, ||ul|, |v|| and the angle 0 (0 ≤0 ≤) between u and v 3) Is u orthogonal to v? Is u parallel to v? 4) Find ||uv||, ||u+v||, and (u+v). (u-v).

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,...
icon
Related questions
Question

j.rahul

subject-algebera

Let u = (2, -3, 4) and v = (-1, 0, 5) be two vectors in R³.
1) Find 4u + v.
2) Find u- v, ||u||, |v|| and the angle 0 (0 ≤ 0 <T) between u and v.
3) Is u orthogonal to v? Is u parallel to v?
4) Find ||uv||, ||u+v||, and (u+v). (u-v).
Transcribed Image Text:Let u = (2, -3, 4) and v = (-1, 0, 5) be two vectors in R³. 1) Find 4u + v. 2) Find u- v, ||u||, |v|| and the angle 0 (0 ≤ 0 <T) between u and v. 3) Is u orthogonal to v? Is u parallel to v? 4) Find ||uv||, ||u+v||, and (u+v). (u-v).
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
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