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Quiz Questions for MTH 120 - Summer 2005, Quizzes of Pre-Calculus

The questions for quiz #101 in the mth 120 course offered by the division of mathematics at essex county college during the summer of 2005. The quiz covers vector operations, including finding the difference of vectors, scalar multiplication, vector multiplication, and the magnitude of a vector. Students are required to show all work clearly and justify their answers algebraically.

Typology: Quizzes

Pre 2010

Uploaded on 08/08/2009

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MTH 120 Summer 2005
Essex County College Division of Mathematics
Quiz # 101 Printed June 15, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers . Justify your answers alge-
braically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use
your calculator, sketch all relevant graphs and write down all relevant mathematics.
1. Given
u=h−1,3i,v=h−5,4i,w=h3,7i,
find.
(a) u3v
(b) 5w+ 3v
(c) u·v
(d) kvk
(e) kvwk
(f) The angle between uand w.
1This document was prepared by Ron Bannon using L
A
T
E
X 2ε.
1

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MTH 120 — Summer — 2005 Essex County College — Division of Mathematics Quiz # 10^1 — Printed June 15, 2005

Name:

Signature:

Show all work clearly and in order, and box your final answers. Justify your answers alge- braically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your calculator, sketch all relevant graphs and write down all relevant mathematics.

  1. Given u = 〈− 1 , 3 〉 , v = 〈− 5 , − 4 〉 , w = 〈 3 , − 7 〉 ,

find.

(a) u − 3 v

(b) 5w + 3v

(c) u · v

(d) ‖v‖

(e) ‖v − w‖

(f) The angle between u and w.

(^1) This document was prepared by Ron Bannon using LATEX 2ε.