### 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

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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.

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### 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} = $ [ \_\_\_\ ]

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