MS 101 Quiz 8.4 Vectors || Name:_____________

  1. Find the dot product for a vector u = 4i and vector v = 25j
  2. Find the cross product for a vector u = 4i and vector v = 25j
  3. A box is dragged 40m across the floor with rope.  The rope is at an angle of 40° degrees to the floor.  The force being exerted by the rope is 20 N.

    Find the Work done in moving the box.
    fdwork.gif (1991 bytes)
  4. A force of 80 Newtons acts on a valve wheel at a distance of 0.5 meters from the center axle of the valve wheel.  The force is perpendicular to the distance.  Calculate the Torque on the valve wheel exerted by this force.
    torque.gif (2098 bytes)

Notes

Work = Force l Distance
Torque = Force × Distance

+ Addition
- Subtraction
* Multiplication
÷ Division
^ Exponentiation
° Composition f ° g
l Dot Product:  u l v = ||u|| ||v|| cos q
× Cross Product: u × v = ||u|| ||v|| sin q

Lee Ling Math Page
Lee Ling Courses Home Page
College of Micronesia-FSM Home Page