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Multivariable & Vectorhard
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Find the torsion τ\tauτ of the helix r(t)=(2cos⁡t,2sin⁡t,3t)\mathbf{r}(t) = (2\cos t, 2\sin t, 3t)r(t)=(2cost,2sint,3t). Use τ=(r′×r′′)⋅r′′′∣r′×r′′∣2\tau = \frac{(\mathbf{r}' \times \mathbf{r}'') \cdot \mathbf{r}'''}{|\mathbf{r}' \times \mathbf{r}''|^2}τ=∣r′×r′′∣2(r′×r′′)⋅r′′′​.