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Something not right, write word for word, verbatim the problem.

the tangent to the postion vector is just the derivatives of the components..

<3,-4t,6t> is te tangent vector at any given point

the line equation for that vector is:
x = Px +3
y = Py -4t
z = Pz +6t
right?

the line equation for the tangent vector i meant to say

@ changuanas I understood it as passing through the point (8,-8,11) ? The tangent that is.

when the vector from P(x,y,z) matches the same vector from the given point; they are in line right?

I believe so.

or... simply equate the vector between points maybe

x = Px +8
y = Py -8
z = Pz +11 = the vector in line with P(x,y,z) and (8,-8,11) right?

my tangent vector is wrong, i didnt see the -t in the z spot

lol Hold on I'm solving something, think I got it!

V =:
x = 7 -3t
y = -10 +2t
z = 11 +t -2t^3
right?

Umm yes, granted I'm not sure how that's helping.. ?

im thinking on it lol

the tangent vector(t) = <3,-4t, 6t-1> right?

Nope. :), well yes but that isnt the answer yet. :P

7-3t = 3
-3t = -4
t = 3/4 maybe?
..................

well, i see a possibility that has a scalar; so let apply that as well; say 's'

7 -3t = 3s
-10+2t = -4st
11+t - 2t^3 = 6st - s got no idea where im going yet :)

err
I g2g to class but I'll explain what I did when I get back... in 3 hours ):

Good luck, finals week. Good work, Amistre, i'm a bit lost, figure it out later.

11+(-13) -2(-13)^3 ?=? 6(46/3)(-13) - 46/3
4392 ?=? 92 - 46/3 ..... taht dint work for me :)

maybe determine the tangent plane the the given is on? :)

if it were the F(x,y,z) = 0 then the derivatives would give us a gradient/normal to the plane...

the line from a one point to another in R^3 is the vector from one point to the other right?

right; the backwards of what i stated is what that looks like ... if i read it right

or the backwards of what im thinking :)

that vector should be:
<8+3, -8-4t, 11 + 6t-1> right?

Yeah, I'm still thinking how to proceed.

i also did that to the point itself; so those 2 lines should at least be parallel... is my thought

that should also equal the vector from teh given to the point right? or at least some scalar of it?

froggy click this link
http://www.twiddla.com/537628