Hello everyone, this problem is very long so if i screw up one part the whole thing is wrong. But i'm pretty sure i'm doing it right...(adsbygoogle = window.adsbygoogle || []).push({});

The last 5 questions asked me to find the tangent of line T1 and T2 to the Curve t1/t2, at the point (1,3,1). So i found everything, and now i have a vector T1 and T2;

T1 = <1+t,3,1+8t>

T2 = <1,3+3t,1-4t>

Now he wants me to find an equation descrbing the plane containing T1 and T2, one way i could do this is to take the cross product of the 2 vectors because they both intersect at the same point, (1,3,1)....but thats not how he wants us to do it, he wants us to use a method with tangent planes and linear approximation but i'm confused on how to do that@! the chaper doesn't talk about that at all...all he says is

We know that any plan passing through the point P(xo,yo,zo) has an eqwuation of the form

A(x-xo) + B(y-yo) + C(z-zo) = 0;

then it says we can rewrite it as z - zo = a(x-xo) + b(y-yo);

Then it says

Suppose f has continous partial derivatives. An equation of the tangent plane to the surface z = f(x,y) at the point P(xo,yo,zo) is

z-zo = fx(xo,yo)(x-xo) + fy(xo,yo)(y-yo);

note: fx means partial derivative with respect of x;

Any ideas on what i could do ? Thanks@

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding an equation describing the plane containing t1&t2?

**Physics Forums | Science Articles, Homework Help, Discussion**