### Determine if the Following Vectors are OrthogonalGiven the vectors:\[ \mathbf{a} = \begin{pmatrix} 6 \\ -5 \end{pmatrix} \]\[ \mathbf{b} = \begin{pmatrix} -2 \\ -2 \end{pmatrix} \]#### Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.)- **A.** The vectors **a** and **b** are orthogonal because $\mathbf{a} + \mathbf{b} = $ [ \_\_\_\ ] - **B.** The vectors **a** and **b** are not orthogonal because $\mathbf{a} \cdot \mathbf{b} = $ [ \_\_\_\ ]- **C.** The vectors **a** and **b** are not orthogonal because $\mathbf{a} + \mathbf{b} = $ [ \_\_\_\ ]- **D.** The vectors **a** and **b** are orthogonal because $\mathbf{a} \cdot \mathbf{b} = $ [ \_\_\_\ ]

Use the property of orthogonal vectors. Write the vectors in the form of unit vectors and then use…

Determine if the following vectors are orthogonal. a%3D -2 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) O A. The vectors a and b are orthogonal because a + b = O B. The vectors a and b are not orthogonal because a•b = O C. The vectors a and b are not orthogonal because a +b = O D. The vectors a and b are orthogonal because a • b=

Determine if the following vectors are orthogonal. a%3D -2 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) O A. The vectors a and b are orthogonal because a + b = O B. The vectors a and b are not orthogonal because a•b = O C. The vectors a and b are not orthogonal because a +b = O D. The vectors a and b are orthogonal because a • b=

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: find the solution set of: a+b+c+d=1 a+b-c-d=1 and write the answer as a vector please explain…

Q: Determine the diagonal length of the rectangle whose length i BIUEE

A: Given query is to find the diagonal.

Q: Find the dot product. u = (-9, 10) and 7 = (3, 6) u.v=

A: Given query is to find the dot product.

Q: Asap show correct work and answer

A: *To find eigenvalue you can calculate:|lamda I-A|=0Or|A-lamda I|=0both give same result.Now:

Q: (d) A unit vector perpendicular to both Q and P (e) Find the component of (P+Q) along (P-Q)

Q: Part B + -10 -5 ++|+|+|+|

A: In this question, the concept of Number Line is applied. Number Line A number line is a graph that…

Q: Find the point (if it exists) at which the following plane and curve intersect. z= 13, r(t) = (t,…

A: From the given information, find the equation of the line:

Q: Complete all steps in the instructions. Add the vectors shown in the graph below. 10 不 -10 7 10 -10…

A: Given

Q: 2) The diagram shows two squares. Name a single vector equivalent to each expression. B M F E D a)…

A: Given

Q: Fill in each blank so that the resulting statement is true. If v a,i+bj and w a,i+ b,j are vectors,…

A: V.W is called the dot product or the scalar product of the vectors V and W

Q: Determine if the following vectors are orthogonal. 12 1 v = 1 ..... Select the correct choice below…

Q: ponent form of u +v given the = 8, 8, = 9 %3D

A: Introduction: We know that the component form of v along the x-axis is rcosθ and the component for…

Q: Compute uu, vou, and u U= V U= V u u u V U u u using the vectors u = (Simplify your answer.)…

Q: Given the vectors a and b. 6. Sketch the vector a + 16

A: According to parallelogram law of vector addition, If two vectors are represented by two adjacent…

Q: Determine if the following vectors are orthogonal. 12 4 2 4 Select the correct choice below and fill…

A: Orthogonal Vectors: Two vectors x and y are called orthogonal, denoted by if

Q: √x √x - √y

A: Given that the expression

Q: Determine whether b is in the column space of A, and if so, express b as a linear combination of the…

Concept explainers

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.

Question

100%

### Determine if the Following Vectors are Orthogonal

Given the vectors:

\[ \mathbf{a} = \begin{pmatrix} 6 \\ -5 \end{pmatrix} \]
\[ \mathbf{b} = \begin{pmatrix} -2 \\ -2 \end{pmatrix} \]

#### Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.)

- **A.** The vectors **a** and **b** are orthogonal because $\mathbf{a} + \mathbf{b} = $ [ \_\_\_\ ]
- **B.** The vectors **a** and **b** are not orthogonal because $\mathbf{a} \cdot \mathbf{b} = $ [ \_\_\_\ ]
- **C.** The vectors **a** and **b** are not orthogonal because $\mathbf{a} + \mathbf{b} = $ [ \_\_\_\ ]
- **D.** The vectors **a** and **b** are orthogonal because $\mathbf{a} \cdot \mathbf{b} = $ [ \_\_\_\ ]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Magnitude$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Find the length of AB
Please solve and show all work using Linear Algebra.
Determine by inspection whether the vectors are linearly independent. Justify your answer. 3 -2 0 3 Choose the correct answer below. O A. The set of vectors is linearly independent because (Type an integer or a simplified fraction.) times the first vector is equal to the second vector. OB. The set of vectors is linearly dependent because (Type an integer or a simplified fraction.) C. The set of vectors is linearly dependent because one of the vectors is the zero vector. O D. The set of vectors is linearly independent because none of the vectors are multiples of the other vectors. times the first vector is equal to the third vector.
Four vectors are shown in the figure below. +y4 Ĉ Ď A +x a. Which of the resultant vectors listed below comes closest to lying along the x axis? OC+ B OÃ+ Ď OD+C b. Is the component of your answer in part a positive or negative? Positive Negative
Using the diagram below, write AG using at least 2 other vectors. Use only AB, AD, and AE in your answer.