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Homework Statement
[PLAIN]http://img576.imageshack.us/img576/1710/vectorp.png [Broken]
Homework Equations
The Attempt at a Solution
I've done part (a) but how do I do (b)?
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No...Well, do you know how to find a tangent vector to the surface G?
Thanks that's really helpful.This site may help you. Since your equation is defined in two variables u and v, I would try taking the partial derivatives with respect to u and v, and you should get two tangent vectors. Then you should check to see if they are linearly independent.
For the first tangent vector:That's odd. I'm not sure you're doing it right, then... remember that:
1. [tex]\sqrt{cosh^2(u)} = cosh(u)[/tex]. This will simplify both of your calculations when finding the second unit tangent vector.
2. sin(pi/4) and cos(pi/4) are not zero.
Sorry, ballsed up the latex.What happened to the unit vectors i and j?
Yeah of course not.But that last line is just not true. -i+j does not equal 0.
Trouble is if I try to find a normal vector from the 2nd tangent vector (by differentiating wrt v),Presumably, yes. And the link I provided above also shows you how to find the normal vector.