Form 2: Linear Equation

Definition of linear algebraic expression:

Consist of 2 or more linear algebraic

terms raised to the power of one and

are combined by addition or subtraction or both.

Example: 8 4

19

23 4

p q

f

k m n

+

−

+ −

• How it is related to the Vector in the topic of

addition and subtraction?

• Look at the next example so that you can see the connection.

Example:

In the diagram, PQR is the triangle and S is the

Midpoint of PR. Given that, and

,determine each of the following vectors in term of

a and b.

(a)

(b)

(c)

R

S

P

Q

4PQ a=uuur

3SP b=uur

RSuuur

SQuuur

RQuuur

Answer:

a)

b)

c)

3RS SP b= =uuur uur

SQ SP PQ= +uuur uur uuur

3 4b a= +

RQ RP PQ= +uuur uuur uuur

RS SP PQ= + +uuur uur uuur

3 3 4b b a= + +6 4b a= +

RP RS SP= +uuur uuur uur

Algebraic expression

is used

Algebraic expression

is used

Point To Be Noted• As we can see, in vector, we use a lot of

algebraic expressions. The above example is only one example. There are more examples of the connection between the linear equation chapter in form 1 and the vector chapter in additional mathematics for form 5.