MARK BOX
Problem Points
125
2 25
3 25
4 25
Tot a l 100
MATH 550 SPRING 1995 EXAM 1
NAME:
SSN:
Instructions:
(1) To receive credit you must work in a logical fashion, SHOW ALL YOUR WORK,
INDICATE YOUR REASONING, and when applicable put your answer on
the line (or in the box) provided.
(2) The “Mark Box” indicates the problems along with their points. Check
that your copy of the exam has all of the problems.
(3) Allowed are a calculator and the class handouts, as indicated on the syllabus.
Not allowed are other notes and books.
(4) This exam covers (from Intro. to Vector Analysis by Davis & Snider, 6thed.)
sections: 1.1 – 1.12, 1.14, 2.1 – 2.4, part of 3.1
1. Let ~
A=h1,2,3iand ~
B=h−5,1,0i.Letθbe the angle between ~
Aand ~
B.
Let ~
A=~
A|| +~
A⊥where ~
A|| is parallel to ~
Band ~
A⊥is perpendicular to ~
B.
Find:
|~
A|=cosθ=
|
~
B|=is0≤θ≤
Π
2
or Π
2<θ≤Π?
~
A•~
B=~
A|| =
~
A×~
B=~
A⊥=
1
