Angular speed Consider the rotational velocity field v = ⟨0, 10z, -10y⟩ . If a paddle wheel is placed in the plane x + y + z = 1 with its axis normal to this plane, how fast does the paddle wheel spin (in revolutions per unit time)?

Let r(t) (15, cos t, -3 sin t) be the position vector of an object. Find the velocity and speed of the object.

Consider the parametric curve Determine which of the following graphs is the correct image of this curve: The correct graph is (Select One) v(1) = r(t) = ( −t³, −t² ) . A B D Also, compute the velocity and acceleration vectors at t = 1, and use this information to determine the direction of motion for the curve. a(1) = The direction of motion is (Select One) Usage: To enter a vector, for example (x, y, z), type "" с

(a) Let A = (1,3) and B = (3,5). Find the vector AB and determine its length. (b) Normalize the vector you found in part (a). Determine the angle this vector makes with the vector (1,0). (c) Find the parametric equation of the line that passes through A in the direction of u = (-1,4). %3D