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
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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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. \((\mathbf{u} \cdot \mathbf{v})\mathbf{v} =\)
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