acceleration/force and radius in uniform circular motion Using mathematical expression to describe the relationship between acceleration and radius we can state Fa m(1),Fa v(2), Fa 1/r-3 F is the cnetriple force, m is the mass of the object and v is the magnitude of the velocity. r is the radian of the circle. F and v directly proportional. The force and radius are inversely proportional. 5.How would you convert this expression into an equation? F = km We can convert this expression into an equation using equations F=ma and thia=v^2/r. K is our constant. 6.What is the constant of proportionality for this equation? Explain k=1 7.How could such an equation be used?

Please solve a

VA VB a) Draw r, if ir = VA – 20B +vc. (Try to maintain the relative lengths and directions of the vectors, but we recognize they will not be perfect. Show your work to prove you know what you're doing.) b) Determine the smallest angle between üg and vc, when they are placed tail to tail, given the following information.

Given the points in space, A = (4,2,– 3), B = (-2,5,1), and C = (5,1,– 2) A) Find a parametric set of equations for the line through point A parallel to the line through points B and C. B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11). C) Find the coordinates of a point on the plane other than A, B, or C which does not lie on a coordinate axis. (no 0 coordinates)

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Identify the error in this "proof" that 2 = 1.  (It becomes blatantly obvious if one sets B equal to a number.) Let A = B A2 = AB A2 - B2 = AB - B2 (A - B)(A + B) = (A - B)B A + B = B 2B = B 2 = 1