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suppose $y''(s)=y(s) * y'(s)$. where * is the cross product

1) show y is a unit speed curve.

2)show that $\frac{d^2}{ds^2}(|y(s)|)=2$

3) deduce $y(s).y'(s)=s$ and further $|y(s)|=(s^2+1)^{0.5}$

- Thread starter Poirot
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- Thread starter
- Banned
- #1

suppose $y''(s)=y(s) * y'(s)$. where * is the cross product

1) show y is a unit speed curve.

2)show that $\frac{d^2}{ds^2}(|y(s)|)=2$

3) deduce $y(s).y'(s)=s$ and further $|y(s)|=(s^2+1)^{0.5}$