MESSAGE FROM MAT214 Calc III Spring2000

THE CLASS THIS MONDAY is in CETL: digital room#2.

Remember that EXAM1 is this comming:

	 THURSDAY FEB10 

Exam1 includes CHAPTER10 ONLY

Here are some exercises: (use Maple)

1) Consider the unit sphere centered at the origin and 
   the line with direction (2,1-3a,2-3a) passing through the point
   (0,a,a). When a=sqrt(2)/2 Find:

   i) The points of intersection between the sphere and the line.
   ii) The area of the triangle containning the pts in (i) and
       the north pole of the sphere.

2) Find three different vectors in 3D, u,v,w such that the cross product
   between them is not associative.

3) Given a line with possition vector u and velocity v, find
   the coordinates of all the points at a fix distance R from
   the line. Deduce from there the equation of the cylinder.

4) Show that the line 
	(x-1)/3 = -y/2 = z+1

   and the plane x + 2y + z = 1 are parallel.

5) Find the formula for the angle between a line and a plane and
   use it to find the angle (in degrees) between the plane
   x+y-z = -1 and the line y = 1 - 3x on the xy-plane.

6) Find the cross product and the inner product between
   the vectors (i+j) and (i-j+k).

7) Is the distance between to parallel planes,
   Ax + By + Cz = D1 and Ax + By + Cz = D2
   given by |D1-D2| ?
   If not, what is the correct formula.
   Find the distance between the planes,
   x+y+2z=2 and x+y+2z=4.

Don't forget that this is the last weekend before the test....
we'll go over some of these exercises on Monday at the new library...

Cheers!


RECALL--RECALL--RECALL--RECALL--RECALL--RECALL--RECALL--RECALL--

EXAMS are in CETL:

       the digital room#2 at the new library.
(go to the right after the main receptionist)

    Exams are NOT in ES143.

For the EXAMS you need to bring:

    1.-  #2 pencil(s)

    2.-  valid SUNYA ID

Exams are between 12 and 18 multiple choice questions.
You may use MAPLE and/or your own calculator but the 
exams are closed book.