mat prob set 1 - University of Toronto DEPARTMENT OF...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
University of Toronto DEPARTMENT OF MATHEMATICS MAT 237y1y Assignment #1 Due date: October 01, 6:10p.m Last Name: _____________________________ First Name ____________________ Student # _______________________________ Lecture Section ______________ (a) TOTAL MARKS: 50 (b) WRITE SOLUTIONS ON THE SPACE PROVIDED, USE THE REVERSE SIDE OF A PAGE TO CONTINUE IF NECESSARY. (c) DO NOT REMOVE ANY PAGES. THERE ARE 6 PAGES (d) FOR A FULL MARK YOU MUST PRESENT YOUR SOLUTION CLEARLY MARKER'S REPORT Question Mark 1 /10 2 /10 3 /10 4 /10 5 /10 TOTAL /50 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
1. (a) Let a , b , c be any vectors in 3 R . Show that (i) ) ( ) ( c b a c b a × = × (ii) If b a b a = + then a and b are orthogonal. (b) Find the distance between the parallel planes : 1 Π 5 2 2 = + z y x and Π . : 2 20 2 2 = + z y x 2
Background image of page 2
2. (a) Using the definition of an open set, prove that the subset ) , ( ) , ( 2 2 1 1 b a b a S × = of the Euclidean space 2 R is open. (b) Determine whether the set
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/21/2010 for the course MATH 237Y1 taught by Professor Stanczak during the Spring '09 term at University of Toronto- Toronto.

Page1 / 6

mat prob set 1 - University of Toronto DEPARTMENT OF...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online