- #1

uchuu-man chi

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## Homework Statement

Let L

_{1}be the tangent line to

**r**(t) at the point t = a and let L

_{2}be the tangent line where t = b. Find the equation of the lines L

_{1}. Find the equation of the lines L

_{1}and L

_{2}and find the points of intersection.

**r**(t) = <f(t), g(t), h(t)>

*bolded letters are vectors

## Homework Equations

## The Attempt at a Solution

I just wanted to tell you guys my thought process and would you correct me wherever I am wrong. The question has more to it, but the computation would be menial. I'm just having trouble with what vectors to use and all that stuff.

**Steps I would take:**-

**r**(a) would give me a point on L

_{1}and

**r**(b) would give me a point on L

_{2}.

-find

**T**(t)

-find

**T**(a) and

**T**(b)

-for L

_{1}, the equation of line would be (f(a), g(a), h(a)) +

**T**(a)t

-same step for L

_{2}as L

_{1}

-find if there is an intersection by setting the parameters of x,y, and z of the lines equal

Am I using the correct vector,

**T**(t), for the second step?

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