Math 1300 Distance: Tips for Assignment 1

Published: Sat, 09/14/13

Did you read my tips on how to study and learn Math 1300?  If not, here is a link to those important suggestions:

Tips for Assignment 1
Here is a link to the actual assignment, in case you don't have it handy:

Note that you need to study Lesson 1 (Systems of Linear Equations) and Lesson 9 (Vectors) from my Linear Algebra & Vector Geometry book to prepare for this assignment.  I think you should find this assignment fairly straightforward if you do thoroughly study and do all the Practise Problems I give you in Lesson 9.  However, make sure that you study Lesson 1 of my book first.  It is an important review of key skills you will need throughout the course and assignments.
Question 1
Besides thoroughly studying Lesson 9 in my book, you may find questions 29, 30 and 31 in my Practise Problems for that lesson helpful in understanding the kind of things to do for this question.
Question 2
Standard stuff.
Question 3
Think about the arrows you can draw and how you know if vectors are collinear or not.
Question 4
Anytime angles are involved, consider the formulas for cosine or sine of an angle between two vectors.  You may also find question 1 in my Practise Problems of some help with how to solve this problem.
Question 5
More of the same.
Question 6
A challenging question, but you may find question 7 in my Lecture Problems (at the front of Lesson 9 and discussed in my lecture notes, not the Practise Problems) of some help.
Question 7
Understand that the picture they have drawn is in three dimensions.  Visualize the x-axis running west-east on your page, the y-axis running north-south, and the z-axis rising up like a pole from your table top.  Note that A, B and C are the x-, y- and z-intercepts, respectively.  To find an intercept, you merely sub 0 in place of the other variables.  For example, the x-intercept is when y and z are both 0.