MATH 152 PRACTICE PROBLEMS FOR MIDTERM 1
(1) Find the value of cos where is the angle between the vectors
~b = (1, 4, 1)
~a = (1, 2, 9)
(2) Find the area of the triangle formed by the three points
(1, 2, 1) (0, 5, 1) (2, 3, 7)
(3) If (1, 1, 1) and (2, 3,
MATH 152 PRACTICE PROBLEMS FOR MIDTERM 1
(1) Find the value of cos where is the angle between the vectors
~b = ( 1, 4, 1)
~a = (1, 2, 9)
(2) Find the area of the triangle formed by the three points
(1, 2, 1) (0, 5, 1) (2, 3, 7)
(3) If (1, 1, 1) and (2, 3,
Math 152, Spring 2008, Practise Test #1
This test was given in 2006. It was given slightly earlier in the term and so does not have any material on linear systems on it. Your test #1 may include basic material on solving linear systems. Marks are indicat
Math 152, Spring 2008, Practise Test #2
This test was given in 2006.
Marks are indicated in the questions, out of a total of 20.
1. (a) (3 marks) Find all the solutions
equations:
x1
+2x2
x1
2x1 2x2
to the following system of linear
+x3 = 1
+2x3 = 0
+x3
Math 152 (TTH)
Spring 2013
Exam 1
Feb 7, 2013
Time Limit: 50 Minutes
Name (Print):
Student number
This exam contains 8 pages (including this cover page) and 5 problems. Check to see if any
pages are missing. Enter all requested information on the top of t
A
Math 152 (MWF)
Spring 2013
Exam 1
Feb 6, 2013
Time Limit: 50 Minutes
Name (Print):
Student number
This exam contains 8 pages (including this cover page) and 5 problems. Check to see if any
pages are missing. Enter all requested information on the top of
Math 152  Linear S ystems
Test #1, Version A ( T/Th sections)
Spring, 2010
University O f B ritish C olumbia
N ame:
 
ID N umber:

I nstructions
You should have six pages including this cover.
There a re 2 p arts to the test:
o
Math 152  Linear S ystems
Test #1, Version B ( MWF sections)
Spring, 2010
University O f B ritish C olumbia
Name:
s~ .
 
l D N umber:

I nstructions
You should have six pages including this cover.
There a re 2 p arts to the test:
Math 152  Linear Systems Test #1, Version A
Spring, 2009 University Of British Colum bia
Name:

ID Number: 
Instructions You should have six pages including this cover. There are 2 parts to the test: o Part A has 10 short questions worth 1 mark each o
Math 152  Linear Systems Test #1, Version B
Spring, 2009 University Of British Columbia
Name: _ _
S_ .C)V\.l _ _ _ _ _ _ _ _ _ _ ~ .:;. _ _ ".
ID Number:_ _ _ _ _'_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
Instructions You should have six pages including this c
Math 152, Spring 2015
Course Web Page: www.math.ubc.ca/wetton/
Text: There is no required texbook for this course. Instead, we will be
following a set of lecture notes. They are available for downloading on the web page above. In the course, we will cover