Assignment:
Q1. Find the component form of the vector representing the velocity of a boat traveling at 8 knots, or nautical miles per hour, with a bearing of N 53-degrees W.
Q2. A force of 703 pounds is needed to push a stalled car up a hill inclined at an angle of 16-degrees to the horizontal. Find the weight of the car. Ignore friction.
Q3. The vectors U and V are orthogonal. Find the value of a.
U= {a,-7}, v= {42,-30}
Q4. A horizontal force of 80 pounds is applied to an object as it is pushed up a ramp that is 13 feet long. Find the work done if the ramp is inclined at an angle of 40-degrees above the horizontal.
Q5. Find the indicated roots of the complex number. Fifth roots of 32.
Provide complete and step by step solution for the question and show calculations and use formulas.