Form 4 [simultaneous equation vs. vector]

• We use simultaneous equation when we have two unknown to solve.

• In vector, usually we use simultaneous equation when we have to find the two constant in the two different vector.

• Example:

Subtitude (1) into (2)

Example of simultaneous

equation.

• Substitute into (1)

u

P

T

Q

SR In the diagram, PQRS is a quadrilateral. PR and QS is a diagonal of the quadrilateral intersection at T. point u lies on PS. It is given that , , and .

Given that and where

m and n are constant, find the value of m and of n.

PSPV3

2 QSQT3

2

bamSR2

1PRnPT

Solution:

Example of vector.

Given,

Substitute (2) into (1),

We use substitute method in

simultaneous equation.