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rjacuna/5c-13.3-4.math

Created July 6, 2017 02:04
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5c-13.3-4.math
r <9t t^2 t^3> (9,1,1) => t=1
r' <9 2t 3t^2>
r'(1) <9 2 3>
|r'(1)| sqrt(81+4+9) = sqrt(94)
|r'(1)|^3= 94sqrt(94)
r" <0 2 6t>
r"(1) <0 2 6>
i j k i j
9 2 3 9 2
0 2 6 0 2
0 -6i -54j 12i 0 18k= 6i -54j 18k
|r'x r"| = sqrt(36+324)= sqrt(370)
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