vectors learning outcomes understand the difference between a vector and a scalar use vector...
TRANSCRIPT
Vectors
Learning Outcomes
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.
ab
(i) a + b (ii) a - b (iii) 2a
Vectors Vectors
(iv) 2a + 3b (iv) 2a - 2b
VectorsVectors and Geometry
O
A
B
A
D
B C
a
b
b
a
2a
VectorsVectors and Geometry
A
B
D
aAB bAD
BD
a
b
C
C is the midpoint of line BD
Write down in terms of a and b:
BD AC
Vectors Exam Question
In the diagram below, and represent the vectors 5a and 10b.
H is a point on FG such that FH : HG = 1 : 4
OF OG
O G
F
H
Express in terms of a or b or both
(a) FG 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
(b) (c)
Additional Notes
Vectors
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 Revise Do Further
Learning Outcomes:At the end of the topic I will be able to