Preliminary Questions

Question 13.170

What is the unit tangent vector of a line with direction vector v = 〈2, 1, −2〉?

Question 13.171

What is the curvature of a circle of radius 4?

Question 13.172

Which has larger curvature, a circle of radius 2 or a circle of radius 4?

Question 13.173

What is the curvature of r(t) = 〈2 + 3t, 7t, 5 − t〉?

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Question 13.174

What is the curvature at a point where T′(s) = 〈1, 2, 3〉 in an arc length parametrization r(s)?

Question 13.175

What is the radius of curvature of a circle of radius 4?

Question 13.176

What is the radius of curvature at P if κP = 9?