\fShort Answer: Write the final simplified answer on the answer lines. 1. The diagram shows a regular hexagon. Write a single vector that is equivalent to each vector expression. a) AE + EB b) DB - EA-DE 2. State the opposite of the vector, 150km/h on a quadrant bearing of S50 - W 3. Convert the quadrant bearing to its equivalent true bearing, N10 . E 4. Convert the true bearing to its equivalent quadrant bearing, 250 o 5. Express the sentence in terms of a scalar multiplication of a vector A boat is travelling at 25km/h northbound. It turns around and travels at 5km/h southbound11. A 35N box is resting on a ramp that is inclined at an angle of 30 degrees to the horizontal. Resolve the weight of the box into the rectangular components keeping it at rest. Include a diagram in your solution.(Show a full solution) [6]\f9. a) Draw the vector u and vat right angles to each other with ju '| = 3cm and |v | = 4.5cm10. Draw a fully labelled vector diagram, including all relevant angles. You should have a triangle of three vectors. DO NOT SOLVE! An airplane is flying at an airspeed of 400 km/h on a heading of 220. A 46-km/h wind is blowing from a bearing of 120. Determine the ground velocity of the airplane.[4]Long Answer: Provide fully justified and simplified solutions to each of the following questions. 6. Use a scale of icm=10m, to draw the vector, displacement of 40m east. Label the magnitude, direction, and scale. [3]8. Simplify the following, 3u" +2v - 2(v -u") + (-3v ) [2]