Class Notes (836,580)
Canada (509,856)
Mathematics (856)
MATA23H3 (77)
Lecture

Week 1 Lecture Notes.pdf

3 Pages
121 Views
Unlock Document

Department
Mathematics
Course
MATA23H3
Professor
Kathleen Smith
Semester
Winter

Description
n Euclidean n{space, R , is de▯ned as R = f (x ;x 1 ▯▯2 ;x ) j xn2 R;ii= 1;2;▯▯▯ ;x g n { set of all n{tuples Eachn{tupleof realnumbers(R )can beviewedasapoint (x ;▯▯▯ ;x ) 1 n th or a vector [x 1▯▯▯ ;x ]n The i entry, x , ofithe vector is called the i component or i coordinate of the vector. A vector is in standard position if its tail is at the origin. If it starts at another point p, it is said to be translated to p. De▯nition: Let v = [v ;v ; ▯▯▯ ;v ] and w = [w ;w ; ▯▯▯ ;w ] be 1 2 n 1 2 n n vectors in R . The vectors are added and subtracted as follows: vector addition: v + w = [v + w ;v 1 w ; 1▯▯ 2v + w2] n n vector subtraction: v ▯ w = [v ▯ w ;v ▯ 1 ; ▯▯1 ;v2▯ w ]2 n n If ▯ is a scalar, the vector v is multiplied by ▯ as follows: scalar multiplication: ▯v = [▯v ;▯v ; ▯▯▯ ;▯v ]. 1 2 n Th
More Less

Related notes for MATA23H3

Log In


OR

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit