(like a tensor) · from eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can...
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![Page 1: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/1.jpg)
![Page 2: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/2.jpg)
(nn)
[nn]
![Page 3: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/3.jpg)
(like a tensor)
![Page 4: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/4.jpg)
This is the reasonfor doing cofactors.
![Page 5: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/5.jpg)
useful special cases
cross product
![Page 6: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/6.jpg)
![Page 7: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/7.jpg)
cross productwith matrices:handy to have fornon-GA people
for future reference...
ax
![Page 8: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/8.jpg)
projection on (dual) plane n
![Page 9: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/9.jpg)
![Page 10: (like a tensor) · From eq. (2.26), the third of eqs. (2.27), and the second of eqs. (2.31), we can visualize a x b as a vector normal to the plane defined by a and b; the length](https://reader034.vdocument.in/reader034/viewer/2022042205/5ea7915aea927c0b701cfff1/html5/thumbnails/10.jpg)
Rodrigues: R = I cosQ + (1-cosQ ) nnT + sinQ nx
= I + sinQ nx + (1-cosQ) (nx)2