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Mathematics FROM 3
Chapter 6 VECTORS
Addition and Substraction of Vectors
a-b=
x
1
-
x
2
y
1
-
y
2
a+b=
x
1
+
x
2
y
1
+
y
2
To add or substract two or more vectors, we add or substract corresponding components. I.e.: if
a=
x
1
y
1
and
b=(
x
2
y
2
)
then;
And
Example:
Given that
a=
3
-2
, b=
-6
-7
and c=
5
4
. Find:
A+b+c
B-c
A-b
C+a
Solution
a+b+c=
3
-2
+
-6
-7
+
5
4
=
3-6+5
-2-7+4
=
2
-3
b-c=
-6
-7
-
5
4
=
-6-5
-7-4
=
-11
-11
a-b=
3
-2
-
-6
-7
=
3--6
-2--7
=
9
5
c+a=
5
4
+
3
-2
=
5+3
4-2
=(
8
2
)
par
Claude Foumtum
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Mathematics FROM 3
Chapter 1 INDICES and LOGARITHMS
NOTE
LAWS OF INDICES
Chapter 2 APPROXIMATIONS
A) DECIMAL PLACES
B) SIGNIFICANT FIGURES
C) CONVERSION TO NEAREST
D) STANDARD FORM
chapter 3 FACTORISATION
METHOD 1: COMMON FACTORS
METHOD 2: FACTORISATION BY GROUPING
METHOD 3: FACTORIZATION BY DIFFERENCE OF TWO SQUARES
METHOD 4: FACTORISATION OF TRIMONIAL
TRANSPOSITION OF FORMULAE
Chapter 5 SIMULTANEOUS EQUATIONS
Definition
SOLUTION OF SIMULTANEOUS EQUATIONS
WORLD PROBLEMS LEADING TO SIMULTANEOUS EQUATIONS
Chapter 6 VECTORS
VECTORS
NOTATION OF VECTORS
A SCALAR QUANTITY
POSITION VECTORS
FREE VECTORS
TYPES OF VECTORS
Addition and Substraction of Vectors
Scalar Multiplication of a Vector
MAGNITUDE OF A VECTOR
DIRECTION OF A VECTOR
THE INVERSE OF A VECTOR
EQUALITY OF VECTORS