How to find the unit tangent and unit normal vectors of a vector function — Krista King Math | Online math help
How to find the unit tangent and unit normal vectors of a vector functio…
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Ellipse a. Show that the curve r(t)=(cost) i (sint) j (1-cost) k 0 ≤t ≤2 π, is an ellipse by showing that it is the intersection of a right circular cylinder and a plane. Find equations for the cylinder and plane. b. Sketch the ellipse on the cylinder. Add to your sketch the unit tangent vectors at t=0, π/ 2, π, and 3 π/ 2 c. Show that the acceleration vector always lies parallel to the plane (orthogonal to a vector normal to the plane). Thus, if you draw the acceleration as a vector attached to
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