1] how to find the unit tangent vector T(t)at the indicated point of the vector function r(t)=(e^(8t) cos(t)) i + (e^(8t)sin(t)) j + (e^(8t)) k ,what is ?
>> i am not sure, but i kind of think that it should be derivative and divided by the magnitude.. but somehow it cannot be done, please help!!!
And also 2] how to find parametric equations for the tangent line at the point on the curve ?
>> i totally get lost from the question.. can someone please help?
A vector tangent to the curve has i, j and k components given respectively by , , .
So at a vector in the direction of the tangent is ......
And a point on the tangent is obviously .
So you have a vector in the direction of the line and a point on the line. You should know how to get the parametric equations of the line from these two things.