Problem 3
In Exercises 1-8, find
(a) \(\mathbf{u} \cdot \mathbf{v}\),
(b) \(\mathbf{u} \cdot \mathbf{u}\),
(c) \(\|\mathbf{u}\|^{2}\),
(d) \((\mathbf{u} \cdot \mathbf{v}) \mathbf{v}\), and
(e) \(\mathbf{u} \cdot(\mathbf{2 v})\).
\(\mathbf{u}=\langle 6,-4\rangle, \mathbf{v}=\langle-3,2\rangle\)
Text Transcription:
u dot v
u dot u
||u||^2
(u dot v) v
u dot(2 v)
u=langle 6,-4 rangle, v=langle-3,2 rangle
Step-by-Step Solution:
Step 1 of 5) Figure 6.28 (a) A cylindrical surface generated by rotating the horizontal line segment AB of length x about the x-axis has area 2pyx. (b) The cut and rolledout cylindrical surface as a rectangle.
Step 2 of 2
