engineering

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 𝐵𝐵�⃗ need to be in order for 𝐴𝐴 and 𝐵𝐵�⃗ to be perpendicular? Give a third vector that is perpendicular to both 𝐴𝐴 and 𝐵𝐵�⃗ . How many possible vector are perpendicular to both 𝐴𝐴 and 𝐵𝐵�⃗ ?

𝐴𝐴 = 2𝚤𝚤̂ + 4𝚥𝚥̂ + 5𝑘𝑘�

𝐵𝐵�⃗ = −3𝚤𝚤̂ + 6𝚥𝚥̂ + 𝑧𝑧𝑘𝑘�

3. If a missile has a momentum vector as given below, what component of the missile’s 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.