First Test	Math 1509L	Fall, '96	Print Your Name(2)
Print Your TA's Name(2)
What Section are you in?(2)

0. Day 5 (4)
If f is a function from R to R3, then the  graph of f lies 
in Rn.  What is the value of n?

I. Page 1.13 #18 (15)
Sketch the two graphs:  z = x2 + y2
and   z2 = x2 + y2.  Mark which is which.

II. Page 2.9, #18 (15)
Find the cosine of the angle between the line connecting [1,-1] 
and [0,1/2] and the line connecting [1,-1] and [0,-3/2].

III.  Page 3.5, #8.(15)
Draw a picture of the curve (2t - 3) i + (3t + 1) j  from t = -1 to t = 1.

IV Day 4 (15)
Here are three points: [0,2,0], [1,0,1], and [2,1,0].  Find the equation 
			a x + b y + c z = d
for the plane that contains these three points.

V Day 4 (15)
Here are two vectors:  u=[1,1,0] and v=[2,4,2]. Find the projection of u onto v and find the projection of v onto u.

VI Day 5 (15) HHere are two points: [1,1,0] and [2,4,2].  Find a vector equation for the line that contains these two points. Is [1/2,1/2,1] on this line?