Draw the force vector in your picture. 4. (a) In one sentence, explain what is a cross product. Then explain the rule that gives the sense of direction )f the cross product. Give an example and label the vectors 1-1., B" (-3" (b) If you change one of the vectors to point in the opposite direction, what happens to the sign of the cross product? (c) Which direction does the force' 1n Question 3 (FCor) point for the SH case, relative to the motion? What. if this were the N H7 ((1) Explain 1n one sentence what is an angular velocity vector (9). Which way does {1 point in the SH and in the NH? (e) Now write the differential equation from Question (3) in terms of a cross product. 5. Optional, for half points back on HWl Question 1: (a) Write the expression for a horizontal wind vector E in Cartesian coordinates using unit vectors 1' and j. Then consider the wind barb below. (b) State the wind direction (WD) using the meteorological convention (cardinal degrees), and (c) calculate the u and 1; :omponents in terms of this angle. Write down the intermediate trigonometric functions (WD must appear in your intermediate step prior to plugging in anyr numbers). (d) Write the equation for the wind magnitude \"1?" in terms of u and 11 and state its value. Give your answers in units of m s'l. (e) Draw the wind vector. J 5. Optional, for full points back on HWl Question 5: Consider the viscous force in an easterly ow. (a) [f u