Topic5VectorsDay1
December05,2013
WHAT IS A VECTOR?
Some physical properties are described by their magnitude. Such properties
are:
area
temperature
we only need a scalar
to represent them
Other physical properties need both magnitude (size) and DIRECTIO
Topic5VectorsDay4.notebook
December11,2013
PARALLELISM
Two nonzero vectors are parallel if and only if one is a scalar multiple of the
other.
If a is parallel to b , then there exists a scalar k such that
|k| is the modulus of k, where |a| is the length o
Topic5VectorsDay6Applicationsofvectors
December14,2013
APPLICATION OF THE VECTOR EQUATION : r =a+ tb
I would like focus today on Relevance of a (position) and b (direction). We will
interpret t as time and b as velocity, with b representing speed.
Example
Topic5VectorsDay3.notebook
December09,2013
VECTORS IN SPACE
To be able to work in 3 space, we will set up a grid so that we can discuss points &
vectors
We have our origin as well as 3 mutually perpendicular axes called the xaxis, yaxis
and the zaxis
We w
Topic5VectorsDay2
December06,2013
GEOMETRIC OPERATIONS WITH VECTORS
3. GEOMETRIC VECTOR SUBTRACTION
To subtract vectors we can use the concept of _
Example:
1
Topic5VectorsDay2
December06,2013
2
Topic5VectorsDay2
December06,2013
GEOMETRIC OPERATIONS WITH
1.
b = 3, c = 3
A1A1
abcd
using mean
4
4
M1
using range (d a = 6)
N2
M1
a = 2, d = 8
A1A1
N2
[6]
2.
(a)
z
180 160
1
20
(A1)
(1) = 0.8413
(A1)
P(height > 180) = 1 0.8413
= 0.159
(b)
A1
z = 1.1800
N3
(A1)
Setting up equation 1.18 =
d 160
20
(M1)
d = 136
Topic5VectorsDay6Applicationsofvectors
December17,2013
APPLICATION OF THE VECTOR EQUATION : r =a+ tb
I would like focus today on Relevance of a (position) and b (direction). We will
interpret t as time and b as velocity, with b representing speed.
Example
___________________________________.________
INSTRUCTIONS TO CANDIDATES
° Write your session number in the boxes above.
' Do not open this examination paper until instructed to do so.
° Answer all the questions in the spaces provided.
° Unless otherwis
Topic5VectorsParametricequations.notebook
December13,2013
VECTOR EQUATION OF A LINE
Linear Equations have been written as:
(1) y = mx + b
(2) y y1 = m(x x1)
(3) Ax + By + C = 0
(slopeintercept form)
(pointslope form)
(standard form)
But now with our lo