- #1
jakey
- 51
- 0
Hi guys,
I'm stuck with a problem here:
Let a curve be given by the following parametric equations: x=t, y=t^2, z=t^3. At which points is the tangent line (of the curve) parallel to the plane x + 2y + z = 0?
What is the underlying principle behind this?
My thoughts:
The tangent line is parallel to the plane if their normal vectors are colinear. The normal vector of the plane is (1,2,1). Now I'm stuck here.
thanks!
I'm stuck with a problem here:
Let a curve be given by the following parametric equations: x=t, y=t^2, z=t^3. At which points is the tangent line (of the curve) parallel to the plane x + 2y + z = 0?
What is the underlying principle behind this?
My thoughts:
The tangent line is parallel to the plane if their normal vectors are colinear. The normal vector of the plane is (1,2,1). Now I'm stuck here.
thanks!