Vectors
Learning Outcomes
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Understand the difference between a vector and a scalar use
vector notation
Add and subtract vectors and use vector diagrams
Know that if one vector is a multiple of the other, they are
parallel
Prove three points lie on the same line by proving they have a
common point and that the vectors which compose them are
parallel
Understand and use position vectors
Vectors
Vectors
A vector has a magnitude and direction.
a
(i) a + b
b
(ii) a - b
(iii) 2a
Vectors
(iv) 2a + 3b
Vectors
(iv) 2a - 2b
Vectors and
Geometry
Vectors
A
a
O
B
b
a
C
B
b
D
A
2a
Vectors
Vectors and
Geometry
B
C is the midpoint of line BD
A
BD 
AB  a
AD  b
C
a
b
D
Write down in terms of a and b:
BD 
AC 
Exam Question
Vectors
In the diagram below,
and
OF
OG
represent the vectors 5a and 10b.
H is a point on FG such that
FH : HG = 1 : 4
F
H
O
G
Express in terms of a or b or both
(a)
FG
(b)
(c)
FH
OH
From a point T, below the line OG, a line TG is drawn equal length and parallel to OH.
(d) Express in terms of a or b or both
FT 
OT 
Additional Notes
Vectors
Learning Outcomes:
At the end of the topic I will be able to





Understand the difference between a vector and a scalar
use vector notation
Add and subtract vectors and use vector diagrams
Know that if one vector is a multiple of the other, they are
parallel
Prove three points lie on the same line by proving they
have a common point and that the vectors which
compose them are parallel
Understand and use position vectors
Can
Do
Revise
Further
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