MATH 113, FALL 2016
WORKSHEET 3 (11.4, 11.5)
1. Let
a =< 1, 2, 2 >,
(a) Find
a b.
NAME:
SECTION:
b =< 3, 2, 1 > .
(b) Find two unit vectors orthogonal to both
a and b .
(c) Find (2
a ) (3 b ).
2. Use the cross product to find the area of the triangle w
MATH 113, FALL 2016 NAME: Soluhbn S
WORKSHEET 2 (11.1, 11.2, 11.3) SECTION:
1. Let P(1,0, 2) and Q(2,4, 1) be points in space.
(a) FindITQ. _._._
Ea: 'all Ll'ol l_,(_,3_] 1'." z%' Ll I 15>
(b) Find m
(c) Find the unit vector with the same direction as m.
MATH 113, FALL 2016 NAME: Sokuhoms
WORKSHEET 3 (11.4, 11.5) SECTION:
1. Leta?=<1,2,2>, ?=<3,2,1>.
(a) Find?x?.
v.
7?
i
. Ail-Q
_)l 4
;\
. OT
= (3" Ln; (1 + (Q) 44-2"me
(13) Find two unit vectors orthogonal to both "6.) and 75+.
2. Use the cros
MATH 113 Fall 2015
Quest 1 (11.1, 11.3, 12.1, 12.2, 12.3)
NAME:
Instructions: In order to receive full credit, show all supporting work and box your final answer.
1. [5pts] Parametrize (or find parametric equations for) the circle with center (2, 3) and r
MATH 113 Fall 2016
PRACTICE Quest 2 (11.4, 11.5, 11.6, 11.7, 11.8, 12.1)
NAME:
Instructions: In order to receive full credit, show all supporting work and box your final answer.
Note: Here are some practice questions for Quest 2. This practice quest is me
MATH 113, FALL 2016
WORKSHEET 1 (10.1, 10.2)
NAME:
SECTION:
1. Consider the curve given by c(t) = (2t + 1, 3t2 9), for 0 t 3.
(a) Make a table showing the x and y coordinates for t = 0, 1, 2, and 3.
(b) Sketch the curve by graphing the points from your ta
MATH 113, FALL 2016
WORKSHEET 2 (11.1, 11.2, 11.3)
1. Let P (1, 0, 2) and Q(2, 4, 1) be points in space.
(a) Find P Q.
(b) Find |P Q|
(c) Find the unit vector with the same direction as P Q.
2. Let
x =< 1, 2, 5 >,
y = i + k,
z =< 4, 1, 4 > .
(a) Compute
MATH 113, FALL 2016
WORKSHEET 4 (11.6, 11.7, 11.8, 12.1)
1. Given the vector function
r (t) =
(a)
NAME:
SECTION:
ln t t
, te , sin(t) , find
t
d
r (t)
dt
Ze
(b)
r (t) dt
1
2. Given that a particle travels along curve with velocity function
v (t) = sin t
MATH 113, FALL 2016 NAME: S cam-hon S
WORKSHEET 1 (10.1, 10.2) SECTION:
1. Consider the curve given by C(t) = (2t + 1.31!2 w 9), for 0 S t S 3.
(a) Make a table showing the x and y coordinates for t = 0, 1, 2, and 3.
Thks Conic] also be. W? EH: (1 as
(b