Math 2A Chapter 9 Test Fall ’07 Name:___________________Show your work for credit.
No calculators are needed. 1.
Let . Find two unit vectors parallel to . 2.
What work is done by the force vector in moving an object from the origin to
(2,3,4)? Assume the force is measured
in 3.
Find the angle between the vectors and where the coordinates 4.
Find the distance between the plane and the plane . 5.
Find an equation for the plane S containing the x-axis
and passing through the point P(1,
2, 3) . 6. Consider the quadric surface described by the equation a. Write the equation in standard form b. Identify the surface as one of the following: a hyperbolic paraboloid, an elliptical cone, an elliptical paraboloid, an ellipsoid, a hyperboloid of one sheet or a hyperboloid of two sheets. c.
What is the intersection of the surface with the
plane x = 2?
10. Write the equation a. Using cylindrical coordinates. b. Using spherical coordinates. |