component form of a vector
DESCRIPTION
Component Form of a Vector. Vector Operations. Vector Operations. Vector Operations. In Theorem 11.3, u is called a unit vector in the direction of v. The process of multiplying v by to get a unit vector is called normalization of v. Coordinates in Space. - PowerPoint PPT PresentationTRANSCRIPT
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Component Form of a Vector
![Page 2: Component Form of a Vector](https://reader030.vdocuments.site/reader030/viewer/2022032612/56812cfa550346895d91c8c7/html5/thumbnails/2.jpg)
Vector Operations
![Page 3: Component Form of a Vector](https://reader030.vdocuments.site/reader030/viewer/2022032612/56812cfa550346895d91c8c7/html5/thumbnails/3.jpg)
Vector Operations
![Page 4: Component Form of a Vector](https://reader030.vdocuments.site/reader030/viewer/2022032612/56812cfa550346895d91c8c7/html5/thumbnails/4.jpg)
In Theorem 11.3, u is called a unit vector in the direction of v. The process of multiplying v by to get a unit vector is called normalization of v.
Vector Operations
![Page 5: Component Form of a Vector](https://reader030.vdocuments.site/reader030/viewer/2022032612/56812cfa550346895d91c8c7/html5/thumbnails/5.jpg)
Coordinates in Space
Figure 11.14
The three-dimensional coordinate system
![Page 6: Component Form of a Vector](https://reader030.vdocuments.site/reader030/viewer/2022032612/56812cfa550346895d91c8c7/html5/thumbnails/6.jpg)
Distance between points in Space
Distance Formula
![Page 7: Component Form of a Vector](https://reader030.vdocuments.site/reader030/viewer/2022032612/56812cfa550346895d91c8c7/html5/thumbnails/7.jpg)
Spheres and Midpoints
Equation of sphere
Midpoint Formula
![Page 8: Component Form of a Vector](https://reader030.vdocuments.site/reader030/viewer/2022032612/56812cfa550346895d91c8c7/html5/thumbnails/8.jpg)
Vectors in Space
![Page 9: Component Form of a Vector](https://reader030.vdocuments.site/reader030/viewer/2022032612/56812cfa550346895d91c8c7/html5/thumbnails/9.jpg)
Parallel Vectors