Ex: Find Parametric Equations of a Tangent Line to a Space Curve

This video explains how to find the parametric equations of a tangent line to a space curved defined by a vector valued function.

[steventanner]

All of your videos are insanely helpful. My gpa and I cannot thank you enough. Whats your venmo?

[nacl]

Thank you for this helpful video. You helped me figure out where this elusive "t" comes from when comparing the given point and the given curve!

[prapanjkt]

Thanks alot this video was really helpful

[lVlaelstrom]

Awesome video! That was a great description of Parametric Equations of a Tangent Line to a Space Curve. 

When you initially find t=1 by using r(t), is it the same as the following? (In Parametric Form):
9 = 4(t)^3 + 5
3 = t^2 + 2(t)^4
-2ln(2) = -2ln(2t)

Then solve for t. I arrived at the same answers, but approached them in another manner I suppose.

Great video! :D

[krisscage]

How do you get 1 for the substitution r(1)?