2. (a). Three forces that act on a particle are given by F1 = (20 i – 36 j + 73 k) N, F2 = (-17 i + 21 j – 46 k) N, and F3 = (-12 k) N. Find their resultant vector. Also find the magnitude

of the resultant to two significant figures.

(b). A vector has an x- component of -25.0 units and a y- component of 40.0 units. Find

the magnitude and direction of the vector.​

Ametal ring 4.20 cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. these magnets produce an initial uniform field of 1.12 t between them but are gradually pulled apart, causing this field to remain uniform but decrease steadily at 0.240 t/s . (a) what is the magnitude of the electric field induced in the ring? (b) in which direction (clockwise or counterclockwise) does the current flow as viewed by someone on the south pole of the magnet?