TOPIC 3

ALGEBRAIC EXPRESSION III

Multiplication algebraic without simplication

Multiplication algebraic involving denominator with one term

For example : Find

WHAT IS THE RELATIONSHIP BETWEEN

ALGEBRAIC EXPRESSION AND VECTOR???

2 53 and 2

4

cb m n rd

× × +

Multiply algebraic expression with numerator

We use algebraic expression to solve problems especially in addition and subtraction vector. Obviously, it use algebraic expression when to express any vector in any term such as in terms of

andp q

Now,let take a look at this example…..

Algebraic expression is related to this subtopic vector

(addition and subtraction of vector)

In the diagram, PQR is a triangle. T is a point on RQ such that 2RT= 3TQ and

S is a point on PQ such that 4PS = SQ. Given that

determine each of the following vectors in terms of and

5 and 4PQ a PR b= =uuur uuur

P

S

Q

T

R

a b

)

)

a SR

b TS

uur

uur

4

PS SR PR

SR PR PS

b a

+ =

= −= −

uuur uur uuur

uur uuur uuur

( )

a)Given 4

4

4

5

1

51

55

PS SQ

PS SQ

PS SQ PQ

PS PS SQ

PS PQ

PS PQ

a a

=

=

+ =

+ =

=

=

= =

uuur uuur

uuur uuur uuur

uuur uuur uuur

uuur uuur

uuur uuur

( )

)

25 4

58

2 458

2 45

82

5

b TS TQ QS

a b SQ

a b PS

a b a

a b

= +

= − −

= − −

= − −

=− −

uur uuur uuur

uuur

uuurExpand and

multiply two

algebraic

terms with

fraction

Thus, as we can see from the example above subtopic addition and subtraction of vector is

connected to the algebraic expression as we always use to solve problem relate to vector