Homework # 6 Due: Mon. March 27
1. Write both the force vectors in Cartesian form. Find a single resultant vector by adding the two forces. What are the magnitude and direction angles of the resultant force vector?
2. What does the z-component of π΅π΅οΏ½β need to be in order for π΄π΄ and π΅π΅οΏ½β to be perpendicular? Give a third vector that is perpendicular to both π΄π΄ and π΅π΅οΏ½β . How many possible vector are perpendicular to both π΄π΄ and π΅π΅οΏ½β ?
π΄π΄ = 2π€π€Μ + 4π₯π₯Μ + 5πποΏ½
π΅π΅οΏ½β = β3π€π€Μ + 6π₯π₯Μ + π§π§πποΏ½
3. If a missile has a momentum vector as given below, what component of the missileβs momentum will be in the direction perpendicular to the sloped face of the bunker? (Hint: Use the coordinates given for the four corners of the sloped face.)
4. Write each vector in both polar and Cartesian form. Find the magnitude and direction of the resultant vector.
5. Find the angle between cable AB and the cable AC.