The vector r, starting at the origin, terminates at and specifies the point in space (x, y, z). find the surface swept out by the tip of r if (a) (r-a) a-0. characterize a geometrically (b) (r-a) r 0. describe the geometric role of a. the vector a is constant (in magnitude and direction).

Imagine you had to physically add electrons, one at a time, to a previously neutral conductor. you add one electron very easily, but the second electron requires more work. in your initial post to the discussion, explain why this is. also, what happens to the work needed to add the third, fourth, fifth, and subsequent electrons

If vx = 7.00 units and vy = -7.60 units, determine the magnitude of v⃗ . determine the direction of v⃗ .

You charge a parallel-plate capacitor, remove it from the battery, and prevent the wires connected to the plates from touching each other. when you increase the plate separation, what happens to the following quantities?