Given à = √2 â – 3 ŷ and B = −2+√3 ŷ. Which of the following(s) is (are) true? (a) A + B is parallel to the z-axis. (b) (‡Ã+ Â) · ŷ = (c) Â=√√√√9 (d) Vector C = -6 2-6 ŷ is 105° counterclockwise from vector B. (e) Vector D = √3+3 ŷ is perpendicular to vector B.
Given à = √2 â – 3 ŷ and B = −2+√3 ŷ. Which of the following(s) is (are) true? (a) A + B is parallel to the z-axis. (b) (‡Ã+ Â) · ŷ = (c) Â=√√√√9 (d) Vector C = -6 2-6 ŷ is 105° counterclockwise from vector B. (e) Vector D = √3+3 ŷ is perpendicular to vector B.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Given \(\vec{A} = \sqrt{2} \hat{x} - 3 \hat{y}\) and \(\vec{B} = -\hat{x} + \sqrt{3} \hat{y}\). Which of the following(s) is(are) true?
(a) \(\frac{1}{\sqrt{2}} \vec{A} + \vec{B}\) is parallel to the x-axis.
(b) \(\left( \frac{1}{\sqrt{2}} \vec{A} + \vec{B} \right) \cdot \hat{y} = 0\)
(c) \(\vec{A} = \sqrt{\frac{2}{11}} \hat{x} - \sqrt{\frac{9}{11}} \hat{y}\)
(d) Vector \(\vec{C} = -6 \hat{x} - 6 \hat{y}\) is 105° counterclockwise from vector \(\vec{B}\).
(e) Vector \(\vec{D} = \sqrt{3} \hat{x} + 3 \hat{y}\) is perpendicular to vector \(\vec{B}\).
Explanation of Graphs or Diagrams:
- The image contains a mathematical problem involving vectors and their properties.
- There are no diagrams or graphs included in the image.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 11 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
