In Secondary 4, students are going to learn this chapter ‘Vectors’. Some love it, most hate it.
In today post, I’m going to share some basic concepts on Vectors.
What is a vector?
A vector is a quantity that has direction and magnitude. Common examples of vector include velocity, acceleration, displacement and force.
The opposite of vector is scalar, a quantity that has only magnitude. Examples include time, speed, distance and mass.
As you see, vector is closely associated with physics!
How do we represent a vector?
vector
Since vector involves magnitude and direction, there will always be an arrow indicting the direction. We call this vector 
Vectors can be expressed in a column format called column vector. For this example, 
which means, starting from point A, 3 units to right and 1 unit up. It is similar to our coordinate system 3 units along x axis and 1 unit along y axis. In general, moving right and up have positive sign while moving left and down have negative sign.
In general: 
How to find magnitude of a vector?
Using the same example,to find magnitude of 
, we use Pythagoras’s Theorem. (Refer to diagram above)
Magnitude of can be written as 
.
I hope you have understood the basic concepts of vectors. In future post, I’m going to write more about the application of vectors.
, you can find the magnitude of the vectors usually by applying Pythagoras Theorem.
. If you do not wish to remember this, you can always draw a diagram in 5 seconds to be able to find the magnitude of any vectors. (This is shown in the video below)
My starting point is A, transition point is O and the end point is B.
where k is a scalar factor.What this means is that 
is // to 
and the magnitude of 
Hi,
I'm Ai Ling. I enjoy coaching students who have challenges with
understanding and scoring in 'O' Level A-Maths and E-Maths. 
