EE 136 Problem Set 1
May 8. 2021
Name: _____________________________
Instructions: Match column A with column B. Write the chosen letter on the left side of
the number in column A. If your answer in column A does not match with any letter in
column B, write your answer on the space provided for.
Column A
_____1. x A  0
_____2.   F  0
Column B
A. 48
B.
_____3. â r at (2,90 o ,270 o )
C. 0
_____4. â  xâ 
D.
2
2
E
_____5. â x  â r at  2
_____6. The points A(8, 3, 2); B(4,-1,2) and C(0, 3, 2) formed F. 24
what kind of triangle?
G
2
H. –(2/9)
_____7. If B  exp( r  2) , what is x B ?

â
(1  cos )â   â   z cos 2 â z , what is I.  2r
4
r
J
A ?
K
o
_____9. For the conical surface   30 ,0    2,0  r  2, the L. 1
M. isosceles
lateral surface area is what?
_____8.
If A 
_____10. Given two points P1(0,2,-1) and P2(2,0,-1), find the N. sin 
perpendicular distance from the point P3(3, 3, -1) to the line P1P2. O. - â y
_____11. Given: P(-1, -1, 2) what is  in cylindrical coordinate P. divergenceless
Q. cos 
system?
R. 2
12
_____12. Given: F  2 â r , determine F  â y .
S.  / 4
r
1
T. 2 2
.
_____13. Find f if f 
2
2
2
5
x y z
U.
4
_____14.
If
the
angle
between
the
vectors V
o
W
A  xâ x  â z and B  3â x  â y is 60 , find x.
_____15.
 (x A)  dS over the surface of a hemispherical bowl
S

of radius 2 and its circular rim if A  3 sin( )â 
2
X. solenoidal
Y. isosceles right
Z.