Explain why or why not Determine whether the following statements are true and g

Question

Explain why or why not Determine whether the following statements

are true and give an explanation or counterexample.

a. The position, unit tangent, and principal unit normal vectors

(r, T, and N) at a point lie in the same plane.

b. The vectors T and N at a point depend on the orientation of a

curve.

c. The curvature at a point depends on the orientation of a curve.

d. An object with unit speed ?|v|=1? on a circle of radius R has

an acceleration of a=N/R

e. If the speedometer of a car reads a constant 60 mi/hr, the car is

not accelerating.

Explanation / Answer

a true

b false

c false

d false

e true

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