Let u (6,6) and 7 = (-7,4). Compute the following: u v = 1008 v=1008 |||||² = - 3 (u.v) (-3u) v = ú. (-3v) = (ú. v) v = 72 Add Work 3024 X X > 8 X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Vectors and Dot Product Calculations**

Consider two vectors:  
\(\mathbf{u} = \langle 6, -6 \rangle\) and \(\mathbf{v} = \langle -7, 4 \rangle\).

**Compute the following:**

1. \(\mathbf{u} \cdot \mathbf{v} = 1008\) (Incorrect)
2. \(\mathbf{v} \cdot \mathbf{u} = 1008\) (Incorrect)
3. \(\|\mathbf{u}\|^2 = 72\) (Correct)
4. \(-3 (\mathbf{u} \cdot \mathbf{v}) = 3024\) (Incorrect)
5. \((-3\mathbf{u}) \cdot \mathbf{v} =\) 
6. \(\mathbf{u} \cdot (-3\mathbf{v}) =\) 
7. \((\mathbf{u} \cdot \mathbf{v})\mathbf{v} =\) 

**Instructions:**

- You can click "Add Work" to show your calculations.
- Press "Submit Question" when you are done filling in the blanks.
Transcribed Image Text:**Vectors and Dot Product Calculations** Consider two vectors: \(\mathbf{u} = \langle 6, -6 \rangle\) and \(\mathbf{v} = \langle -7, 4 \rangle\). **Compute the following:** 1. \(\mathbf{u} \cdot \mathbf{v} = 1008\) (Incorrect) 2. \(\mathbf{v} \cdot \mathbf{u} = 1008\) (Incorrect) 3. \(\|\mathbf{u}\|^2 = 72\) (Correct) 4. \(-3 (\mathbf{u} \cdot \mathbf{v}) = 3024\) (Incorrect) 5. \((-3\mathbf{u}) \cdot \mathbf{v} =\) 6. \(\mathbf{u} \cdot (-3\mathbf{v}) =\) 7. \((\mathbf{u} \cdot \mathbf{v})\mathbf{v} =\) **Instructions:** - You can click "Add Work" to show your calculations. - Press "Submit Question" when you are done filling in the blanks.
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