1.1 Vectors in R2 and R3
Distance between PQ
2
2
o
d (u , v )= ( q 1 p1 ) + ( q2 p 2)
Magnitute of aVector
o
|= u21 +u21
Simplifying
o
ab= ( a ) ( b )
a a
o
=
b b
Unit Vector
o
Magnitude must be equal 1
Addition of Vectors
a + b =( a1+ b1 , a2+b2 )
o
Fin

Friday, November 13, 2015
Page 1
Mathematics 1229A
Test 2
CODE 111
PART A (18 marks)
1. [ 1
mark ] Which of the following equations is/are linear in the unknowns x, y and z?
(i)
x 3 z
+ +
3 y 3
= 6
(ii) x(1 + y + z) =
A: (i) and (ii) only
D: (iii) only
3

Friday, November 13, 2015
Page 1
Mathematics 1229A
Test 2
CODE 111
PART A (18 marks)
NOTE: YOUR ANSWERS TO THE PROBLEMS IN PART A MUST BE
INDICATED ON THE SCANTRON SHEET. YOU SHOULD ALSO CIRCLE
YOUR ANSWERS IN THIS BOOKLET.
1
mark
1. Which of the followin

Friday, October 16, 2015
Page 1
Mathematics 1229A
Test 1
CODE 111
PART A (18 marks)
1. [ 1 mark ] Find k3i 2kk, where i and k are unit vectors in 3 along the positive x-axis and z-axis,
respectively.
A: 1
B: 13
C: 5
D: 5
E: 9
Solution: In R3 we have i = (