# Vector Derivative and Tangent – A tangent calculation for a curve in a vector presentation – Exercise 3833

Exercise

Calculate the tangent equation for the curve

$$\vec{r}(t)=2\cos t\vec{i}+3\sin t\vec{j}+t\vec{k}$$

At the point

$$M(2,0,0)$$

$$\vec{x}=(0,3,1)t+(2,0,0)$$