Vector tangente unitario, vector normal, vector binormal unitario y curvatura.

Vector tangente unitario, vector normal, vector binormal unitario y curvatura.

by América Analco

​Vector tangente unitario

Multiple Choice

Calcula el vector tangente unitario de $$r\left(t\right)=\left(e^t\cos t,\ e^{t\ }sent,\ 2\right)$$  

• $$T=\frac{1}{\sqrt[]{2}}\left(\left(\cos t-sent\right),\ \left(\cos t+sent\right),\ 0\right)$$  

• $$T=\frac{1}{\sqrt[]{2}}\left(\left(\cos t+sent\right),\ \left(\cos t-sent\right),\ 0\right)$$  

​Vector normal unitario

Multiple Choice

Calcula el vector normal unitario de $$r\left(t\right)=\left(e^t\cos t,\ e^{t\ }sent,\ 2\right)$$  

• $$N=\frac{1}{\sqrt[]{2}}\left(-\left(sent+\cos t\right),\ \left(\cos t-sent\right),\ 0\right)$$  

• $$N=\frac{1}{\sqrt[]{2}}\left(\left(\cos t-sent\right),\ \left(\cos t+sent\right),\ 0\right)$$  

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​Determine el vector tangente, el vector normal y la curvatura de las siguientes funciones