Problem #1: Rewrite the followings using the vector notation. a. nidijvj avi b. Oji ax; dolk C. Eijk axl Problem #2: Rewrite the followings using the index notation. Here, a and b are vector functions. a. Vx (Vxa) b. Vx (axb) Problem #3: In the Cartesian coordinates determine the followings. Use the index notation in your final answers. Here r is the magnitude of the position vector x, n positive integer. a. V . (xx) b. Vrn c. VV